We present improved predictions of a class of event-shape distributions called angularity for a contribution from an effective operator in Higgs hadronic decay that suffers from large perturbative uncertainties.In the...We present improved predictions of a class of event-shape distributions called angularity for a contribution from an effective operator in Higgs hadronic decay that suffers from large perturbative uncertainties.In the framework of the soft-collinear effective theory,logarithmic terms of the distribution are resummed at NNLL'accuracy,for which a two-loop constant of gluon-jet function for angularity is independently determined using a fit to the fixed-order distribution at the NLO corresponding to O(a_(s)^(2))relative to the Born rate.Our determination has reasonable agreement with the value in a recently released thesis.In the fit,we use an asymptotic form with a fractional power conjectured from recoil corrections at one-loop order,and it improves the accuracy of determining positive values of the angularity parameter a.The resummed distribution is matched to the NLO fixed-order results to make our predictions valid at all angularity values.We also discuss the first and subtracted moments of angularity as a function of a that enable the extraction of information on leading and subleading nonperturbative corrections associated with gluons.展开更多
This study aims to develop a high-precision and cost-efficient method for the threedimensional reconstruction of large particles in natural gravel and blasted rock fragments,utilizing Structure from Motion(SfM)and Mul...This study aims to develop a high-precision and cost-efficient method for the threedimensional reconstruction of large particles in natural gravel and blasted rock fragments,utilizing Structure from Motion(SfM)and Multi-View Stereo(MVS)techniques.The proposed approach was applied to characterize the three-dimensional morphology of rockfill dam materials at a real construction site.Particle shape was quantitatively analyzed using shape indices of sphericity,convexity,and angularity.The predominant morphology of natural gravel is characterized as slightly elongated and slightly flat,while rock fragments are slightly elongated and not flat.Probability density distributions of shape indices follow a skewed normal distribution:sphericity and convexity show leftward skewness,whereas angularity is right-skewed.Skewness parameters of sphericity and angularity are consistent between natural gravel and blasted rock fragments,indicating comparable shape asymmetry.Convexity skewness is significantly higher in natural gravel compared to rock fragments,by approximately an order of magnitude.The relationship between size and particle shape shows that form ratios and associated shape descriptors change linearly with the logarithm of size;larger particles approach spherical or cubic forms.The innovative measurements contribute to the particle shape data set of rockfill dam materials,providing valuable insights into the three-dimensional and statistical morphological characteristics of relatively large particles in natural gravel and blasted rock fragments.This approach enhances understanding of particle morphology's impact on the mechanical behavior of granular materials.展开更多
Precipitation via thermal treatments is among the most effective approaches to strengthening and is widely applied in the Al industry. Thermal treatments combined with deformation are capable of finely regulating the ...Precipitation via thermal treatments is among the most effective approaches to strengthening and is widely applied in the Al industry. Thermal treatments combined with deformation are capable of finely regulating the process of precipitation and distribution of precipitates. Deformation-induced defects exert significant impacts on the precipitation and already present precipitates, which however is often overlooked. In this study, the interactions between deformation and precipitation/precipitates, and their impacts on mechanical properties were systematically investigated in the solution-treated (ST) Al-0.61Mg-1.17Si-0.5Cu (wt.%), processed by multi-pass equal channel angular pressing (ECAP) and thermal treatments. Novel deformation-mediated cyclic evolution of precipitates is discovered: ST→ (1,2 passes: deformation induced precipitation) Guinier Preston (GP) zones→ (An250/30) Q’ and L phases→ (3-pass: deformation induced fragmentation/resolution) spherical precipitates→ (4-pass: deformation induced further fragmentation/resolution) GP zones. On this basis, we extend the quasi-binary phase diagram of Al-Mg_(2)Si along deformation as the third dimension and construct an innovative defect phase diagram for the Al-Mg-Si-based system. To testify to the effect of deformation-mediated cyclic evolution of precipitation/precipitates on the optimum mechanical properties, peak-aging treatments were performed in samples of ST and 3-pass states. Based on the microscopic characterizations, a distinctive mechanism of peak-aging strengthening is proposed. Notably in the 3-pass ECAPed and peak-aged sample the dominant strengthening phases become the L precipitates that thrived from the segmented and spherical L phases, rather than β’’ precipitates in the solely peak-aged ST sample. Our work provides a feasible example for exploring the combined processing technique of multi-step deformation and thermal treatments, to optimize the mechanical properties.展开更多
To investigate the effect of microstructure evolution on corrosion behavior and strengthening mechanism of Mg-1Zn-1Ca(wt.%)alloys,as-cast Mg-1Zn-1Ca alloys were performed by equal channel angular pressing(ECAP)with 1 ...To investigate the effect of microstructure evolution on corrosion behavior and strengthening mechanism of Mg-1Zn-1Ca(wt.%)alloys,as-cast Mg-1Zn-1Ca alloys were performed by equal channel angular pressing(ECAP)with 1 and 4 passes.The corrosion behavior and mechanical properties of alloys were investigated by optical microscopy(OM),scanning electron microscopy(SEM),electron backscatter diffraction(EBSD),electrochemical tests,immersion tests and tensile tests.The results showed that mechanical properties improved after ECAP 1 pass;however,the corrosion resistance deteriorated due to high-density dislocations and fragmented secondary phases by ECAP.In contrast,synchronous improvement in the mechanical properties and corrosion resistance was achieved though grain refinement after ECAP 4 passes;fine grains led to a significant improvement in the yield strength,ultimate tensile strength,elongation,and corrosion rate of 103 MPa,223 MPa,30.5%,and 1.5843 mm/a,respectively.The enhanced corrosion resistance was attributed to the formation of dense corrosion product films by finer grains and the barrier effect by high-density grain boundaries.These results indicated that Mg-1Zn-1Ca alloy has a promising potential for application in biomedical materials.展开更多
The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex...The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex beams for various applications.In this work,the second harmonic(SH)optical vortex beams generated from nonlinear fork gratings under Gaussian beam illumination are numerically investigated.The far-field intensity and phase distributions,as well as the orbital angular momentum(OAM)spectra of the SH beams,are analyzed for different structural topological charges and diffraction orders.Results reveal that higher-order diffraction and larger structural topological charges lead to angular interference patterns and non-uniform intensity distributions,deviating from the standard vortex profile.To optimize the SH vortex quality,the effects of the fundamental wave beam waist,crystal thickness,and grating duty cycle are explored.It is shown that increasing the beam waist can effectively suppress diffraction order interference and improve the beam’s quality.This study provides theoretical guidance for enhancing the performance of nonlinear optical devices based on NPCs.展开更多
By introducing noncanonical vortex pairs to partially coherent beams, spatial correlation singularity (SCS) and orbital angular momenta (OAM) of the resulting beams are studied using the Fraunhofer diffraction integra...By introducing noncanonical vortex pairs to partially coherent beams, spatial correlation singularity (SCS) and orbital angular momenta (OAM) of the resulting beams are studied using the Fraunhofer diffraction integral. The effect of noncanonical strength, off-axis distance and vortex sign on spatial correlation singularities in far field is stressed. Furthermore, far-field OAM spectra and densities are also investigated, and the OAM detection and crosstalk probabilities are discussed. The results show that the number of dislocations of SCS always equals the sum of absolute values of topological charges for canonical or noncanonical vortex pairs. Although the sum of the product of each OAM mode and its power weight equals the algebraic sum of topological charges for canonical vortex pairs, the relationship no longer holds in the noncanonical case except for opposite-charge vortex pairs. The changes of off-axis distance, noncanonical strength or coherence length can lead to a more dominant power in adjacent mode than that in center detection mode, which also indicates that crosstalk probabilities of adjacent modes exceed the center detection probability. This work may provide potential applications in OAM-based optical communication, imaging, sensing and computing.展开更多
The experimental realization of observable phonon angular momentum(PAM)in feasible systems using relatively simple methods remains a critical challenge.Motivated by the chiral-induced spin selectivity effect,this stud...The experimental realization of observable phonon angular momentum(PAM)in feasible systems using relatively simple methods remains a critical challenge.Motivated by the chiral-induced spin selectivity effect,this study explores the generation of PAM during the transport of electrically driven polarons along a singlestranded helix structure.We demonstrate that the motion of a polaron under an applied electric field inherently induces a finite PAM,exhibiting drift-locked behavior between the PAM and the polaron.By analyzing the time evolution of PAM distribution at each site,we identify the observed PAM as a natural consequence of coherent superposition between lattice waves,in which the chiral structure selectively determines the direction of induced PAM.Furthermore,we examine the roles of two types of electron-phonon interactions and structural periodicity in modulating PAM.These findings highlight the potential of chiral molecules as platforms for PAM generation and offer new insights into developing phonon-spin-based devices for information processing and transmission.展开更多
In the burgeoning field of light-matter interactions,angular momentum has emerged as a pivotal factor,driving innovative research directions.This study delves into the interaction dynamics between vortex lights and an...In the burgeoning field of light-matter interactions,angular momentum has emerged as a pivotal factor,driving innovative research directions.This study delves into the interaction dynamics between vortex lights and an electromagnetically induced transparency(EIT)medium,with a primary focus on elucidating the underlying mechanism of angular momentum transfer.Through comprehensive theoretical analysis and numerical simulations,it is demonstrated that when the probe field carries orbital angular momentum(OAM),the dispersion and absorption characteristics of the EIT medium undergo periodic modulation.This modulation is intricately determined by the azimuthal phase and topological charge of the beam.Notably,the OAM in the driving field exerts no such influence on the medium’s properties.Leveraging vortex phase plates(VPPs)or spatial light modulators(SLMs)to manipulate the tunable OAM enables dynamic control over the EIT effect.This breakthrough not only deepens our understanding of light-matter interactions at the quantum level but also unlocks new avenues for high-dimensional quantum information processing and advanced optical communication technologies.展开更多
For some space radio telescopes,the orbit determination accuracy is not high enough,the time synchronization accuracy provided by the satellite platforms is low,and GNSS devices are not available.As a result,a traditi...For some space radio telescopes,the orbit determination accuracy is not high enough,the time synchronization accuracy provided by the satellite platforms is low,and GNSS devices are not available.As a result,a traditional method that relies on GNSS devices to obtain an initial clock offset followed by performing correlation with the calibration source may fail to obtain fringes.Moreover,a brutal force search across the 2D clock offset and fringe rate search plane is computationally expensive.In light of these challenges,we propose a novel time synchronization method that utilizes the spacecraft’s telemetry tone signal.This method employs frequency polynomials derived from Doppler tracking for fringe rotation during the correlation process.By aligning the frequency of the target station precisely with that of the reference station,it is only necessary to split the clock offset search range into multiple time windows,perform correlation for each window,and identify the window with the highest signal-to-noise ratio(SNR).The precise clock offset is determined by combining the residual delay with the initial offset.To validate the method,we observe the Tianwen-1 telemetry signal with the 4.5 m small telescope in the Tianma campus of Shanghai Astronomical Observatory and 40 m telescope in Kunming.The results demonstrate that our method can accurately determine clock offset for a time range as wide as±10 ms,with an SNR slightly higher than that achieved with the delay model.This method is suitable for wide-range time synchronization for space Very Long Baseline Interferometry observations,especially in scenarios involving small antennas with low sensitivity and poor orbit determination accuracy.展开更多
We present the first theoretical study on heavy-flavor jet angularities(λ_(α)^(κ))in Pb+Pb collisions at√SNN=5.02 Te V.The initial production of heavy-flavor jets was carried out using the POWHEG+PYTHIA8 prescript...We present the first theoretical study on heavy-flavor jet angularities(λ_(α)^(κ))in Pb+Pb collisions at√SNN=5.02 Te V.The initial production of heavy-flavor jets was carried out using the POWHEG+PYTHIA8 prescription.In contrast,the SHELL transport model describes jet evolution in the quark-gluon plasma(QGP).In p+p collisions,we observed narrower angularity distributions for D ^(0)-tagged jets than for inclusive jets,consistent with the ALICE preliminary results.We then demonstrate that jet quenching in the QGP slightly widens the angularity distribution of D ^(0)-tagged jets in Pb+Pb collisions relative to that in p+p collisions for a jet transverse momentum of 10<pch/T,jet<20 Ge V/c.In contrast,the angularity distributions of the inclusive and D ^(0)-tagged jets become narrower in Pb+Pb collisions relative to p+p atpch/T,jet>20 Ge V/c because of the strong influence of selection bias.Additionally,by comparing the average angularities<λ_(α)^(κ)>of the inclusive,D ^(0)-tagged,and B ^(0)-tagged jets with varyingαandκ,we show that the larger the quark mass,the lower the jet’s<λ_(α)^(κ)>values are.As a result of the slenderer initial distribution,we predict that compared with inclusive jets,heavy-flavor jets,especially B~0-tagged ones,will suffer stronger modifications of<λ_(α)^(κ)>in Pb+Pb relative to p+p at 10<pch/T,jet<20 Ge V/c.For a larger jet radius,a more significant broadening of the jet angularities was predicted because of the enhanced contribution of the wide-angle particles.展开更多
Fast Radio Bursts(FRBs)have emerged as one of the most intriguing and enigmatic phenomena in the field of radio astronomy.The key of current related research is to obtain enough FRB signals.Computer-aided search is ne...Fast Radio Bursts(FRBs)have emerged as one of the most intriguing and enigmatic phenomena in the field of radio astronomy.The key of current related research is to obtain enough FRB signals.Computer-aided search is necessary for that task.Considering the scarcity of FRB signals and massive observation data,the main challenge is about searching speed,accuracy and recall.in this paper,we propose a new FRB search method based on Commensal Radio Astronomy FAST Survey(CRAFTS)data.The CRAFTS drift survey data provide extensive sky coverage and high sensitivity,which significantly enhance the probability of detecting transient signals like FRBs.The search process is separated into two stages on the knowledge of the FRB signal with the structural isomorphism,while a different deep learning model is adopted in each stage.To evaluate the proposed method,FRB signal data sets based on FAST observation data are developed combining simulation FRB signals and real FRB signals.Compared with the benchmark method,the proposed method F-score achieved 0.951,and the associated recall achieved 0.936.The method has been applied to search for FRB signals in raw FAST data.The code and data sets used in the paper are available at github.com/aoxipo.展开更多
A parametrization of density matrices of ddimensions in terms of the raising J+and lowering J−angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann paramete...A parametrization of density matrices of ddimensions in terms of the raising J+and lowering J−angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann parameters. A general expression for the density matrix of the composite system of angular momenta j1and j2is obtained. In this matrix representation violations of the Bell-Clauser-Horne-Shimony-Holt inequalities are established for the X-states of a qubit-qubit, pure and mixed, composite system, as well as for a qubit-qutrit density matrix. In both cases maximal violation of the Bell inequalities can be reached, i.e., the Cirel’son limit. A correlation between the entanglement measure and a strong violation of the Bell factor is also given. For the qubit-qutrit composite system a time-dependent convex combination of the density matrix of the eigenstates of a two-particle Hamiltonian system is used to determine periodic maximal violations of the Bell’s inequality.展开更多
Zn–Ag alloys are highly promising materials for fabricating biodegradable orthopedic implants.Nonetheless,they suffer from inferior strength.A Zn–2.5Ag alloy was alloyed with different contents of Mg(0.08,0.5,and 1 ...Zn–Ag alloys are highly promising materials for fabricating biodegradable orthopedic implants.Nonetheless,they suffer from inferior strength.A Zn–2.5Ag alloy was alloyed with different contents of Mg(0.08,0.5,and 1 wt.%)and then processed by equal channel angular pressing.Tensile tests and microstructure observation were conducted to investigate the impact of Mg addition on the microstructure and mechanical properties of Zn–2.5Ag alloy.Zn–2.5Ag alloy exhibits an ultrahigh elongation(EL)of 120.4%but a poor yield strength(YS)of 90.1 MPa,because of phase boundary sliding(PBS).Mg addition inhibits PBS and thus dramatically enhances YS but lowers EL.Specifically,YS of Zn–2.5Ag alloys containing Mg of 0.08%,0.5%,and 1%is 257.0,291.8,and 322.6 MPa,respectively.The alloys with 0.08%and 0.5%Mg possess an EL of around 30%,while the alloy with 1%Mg has an EL of only 11.0%.YS and EL of Zn–2.5Ag–0.5Mg alloy surpass that needed by orthopedic implants by 45.9%and 106.0%,respectively.Grain refinement strengthening is the main contributor to high strength.It is speculated that deformation twinning suppression and<c+a>pyramidal slip activation contribute to good ductility.展开更多
The effect of rotational-die equal channel angular pressing(RD-ECAP)temperature and deformation route on the microstructure and mechanical properties of pre-extruded Mg-5Gd-3Y-1Zn-0.5Zr(wt%)alloys were investigated.Th...The effect of rotational-die equal channel angular pressing(RD-ECAP)temperature and deformation route on the microstructure and mechanical properties of pre-extruded Mg-5Gd-3Y-1Zn-0.5Zr(wt%)alloys were investigated.The results indicate that the RD-ECAP updates both theα-Mg texture and long-period stack-ing ordered(LPSO)arrangement in the pre-extruded alloy,while theα-Mg texture is more sensitive to the change of deformation route.The LPSO streamlines modify the anisotropy of mechanical properties of the ECAP alloys via exerting different reinforcing effects and modifying the crack propagation.The lower ECAP temperature of 350℃ rather than 400℃ promotes dynamic precipitation which deteriorates the following ageing-hardening response but conduces to refining theα-Mg grains and preventing a sharp drop in elongation after peak ageing.The 350A peak-aged alloy exhibits the optimal mechanical proper-ties with the average tensile yield strength(TYS)of 311 MPa(S_(TYS)=3.7,S indicates standard deviation)and elongation of 7.6%(S_(EL)=0.7).Its higher strength should mainly be attributed to the finer grain size,and its quasi-isotropic performance should be inherited from the ECAP state induced by the rational arrangement of LPSO phases.展开更多
The low ductility and strong mechanical anisotropy of wrought magnesium alloys have hindered their further processing and application.In this study,AZ31 magnesium alloy sheet was prepared by a new asymmetrical angular...The low ductility and strong mechanical anisotropy of wrought magnesium alloys have hindered their further processing and application.In this study,AZ31 magnesium alloy sheet was prepared by a new asymmetrical angular rolling(AAR)process,compared with conventional symmetrical rolling(SR)process and asymmetrical rolling(ASR)process.The effects of three rolling processes on the microstructure,texture and mechanical properties of the alloy sheets were systematically studied.The results show that the AAR sheet exhibits excellent mechanical properties compared to other two rolling processes.It not only achieves the highest ductility of 17.9%,17.9%,and 18.5% in the three directions,but also has the lowest mechanical anisotropy values for yield strength,ultimate tensile strength and elongation.The AAR process significantly reduces the anisotropy of the material by achieving the smallest average grain size of 4.93μm and the most homogeneous grain size distribution.Introduced bi-directional asymmetric shear stresses randomizes grain orientation and activates the non-basal slip system,which also significantly reduces the anisotropy.In addition,the tensile twinning mechanism dominates during the AAR process,which contributes to texture weakening and the activation of the non-basal slip system.Through the synergy of these mechanisms,the AAR sheet is characterized by high ductility and low anisotropy.展开更多
The dilemma of choosing between superb grain boundary strengthening and excellent precipitation strengthening is commonly faced in the pursuit of high-strength age-hardenable Mg alloys.Here,a strategy for addressing t...The dilemma of choosing between superb grain boundary strengthening and excellent precipitation strengthening is commonly faced in the pursuit of high-strength age-hardenable Mg alloys.Here,a strategy for addressing this dilemma via the balance between grain refinement and weakening of dynamic precipitation is proposed and applied on a Mg-10.95Gd-2.06Ag(wt%)alloy treated by sequential processing of equalchannel angular pressing(ECAP),hot rolling and aging.The hot rolling leads to a noticeable dissolution of the dynamic precipitates intensively formed during prior ECAP,together with a tolerable grain growth.Meanwhile,numerous multi-twinning-induced lamellar bands(LBs)demarcated by coaxial grain boundaries(CGBs)subdivide the grains.For the first time,a quadruple twinning pattern for the formation of CGB with a misorientation of~135°is raised.During post-rolling aging,besides the commonβ’andγ”precipitates and theβnano-particles whose Gd/Ag ratio is much lower than that of dynamically precipitatedβparticles,theβ”/βT precipitates,CGB segregation,and stacking fault(SF)-associated segregation/γ’precipitates within LBs,are also involved with the precipitation structure.Benefiting from this complex precipitation structure,a good age-hardening ability manifested by the aging-induced tensile yield strength(TYS)increment reaching 115 MPa is attained.Combining with the strengthening from grain boundaries,dislocations,solutes,and basal texture,a high TYS of 447 MPa is achieved.展开更多
In this study,the interaction between deformation and precipitates during multiple equal channel angular pressing(ECAP)deformations and inter-pass aging combination and its effect on the mechanical properties of 7050 ...In this study,the interaction between deformation and precipitates during multiple equal channel angular pressing(ECAP)deformations and inter-pass aging combination and its effect on the mechanical properties of 7050 aluminum alloy are studied.The result show that ECAP induces numerous substructures and dislocations,effectively promoting the precipitation of theηʹphase exhibiting a bimodal structure during inter-pass aging.Following inter-pass aging and subsequent ECAP,the decrease in grain size(4.8μm)is together with the increase in dislocation density(1.24×10^(15) m^(−2))due to the pinning effect of the precipitated phase.Simultaneously,the dislocation motion causes the second phase particles to become even finer and more diffuse.The synergistic effects of precipitation strengthening,fine grain strengthening,and dislocation strengthening collectively enhance the high strength of aluminum alloys,with ultimate tensile strength and yield strength reaching approximately 610 and 565 MPa,respectively.Meanwhile,ductility remains largely unchanged,primarily due to coordinated grain boundary sliding and the uniform and fine dispersion of second phase particles.展开更多
In order to achieve high precision online prediction of surface roughness during turning process and improve cutting quality,a prediction method of turned surface roughness based on Gramian angular difference field(GA...In order to achieve high precision online prediction of surface roughness during turning process and improve cutting quality,a prediction method of turned surface roughness based on Gramian angular difference field(GADF)of multi-channel signal fusion and multi-scale attention residual network(MA-ResNet)was proposed.Firstly,the multi-channel vibration signals were subdivided into various frequency bands using wavelet packet decomposition,and the sensitive channels were selected for signal fusion by doing correlation analysis between the signals of various frequency bands and the surface roughness.Then the fused signals were converted into pictures using GADF image encoding.Finally,the pictures were inputted into the residual network model combining the parallel dilation convolution and attention module for training and verifying the effectiveness of the model performance.The proposed method has a root mean square error of 0.0187,a mean absolute error of 0.0143,and a coefficient of determination of 0.8694 in predicting the surface roughness,which is close to the actual value.Therefore,the proposed method had good engineering significance for high-precision prediction and was conducive to on-line monitoring of surface quality during workpiece processing.展开更多
The angular deviations and influential factors of Burgers orientation relationship(BOR)in Ti-6Al-4V and Ti-6.5Al-2Zr-1Mo-1V alloys were investigated by optical microscope(OM),scanning electron microscope(SEM),electron...The angular deviations and influential factors of Burgers orientation relationship(BOR)in Ti-6Al-4V and Ti-6.5Al-2Zr-1Mo-1V alloys were investigated by optical microscope(OM),scanning electron microscope(SEM),electron backscattered diffraction(EBSD)and high-angle annular dark-field scanning transmission electron microscope(HAADF-STEM).A spherical center angle model was introduced to calculate the angular deviations from the ideal BOR between α and β phases.The results indicate thatαand β phases in α colonies of both alloys do not follow the perfect BOR during β→α phase transformation,with angular deviation values less than 3°.Through detailed microstructure characterization,the broad face of α/β interfaces viewed along two different electron incident directions shows the atomic-scale terrace-ledge structure,and many dislocations are observed within α and β phases and near α/β interfaces.Further studies reveal that the angular deviations mainly originate from lattice distortions caused by dislocations in α and β phases and lattice mismatches at α/β interfaces.展开更多
基金Supported by the National Key Research and Development Program of China(2020YFA0406301)the National Natural Science Foundation of China(12150610461)+1 种基金Jun Gao Sponsored by the National Natural Science Foundation of China(12275173,11835005)Tanmay Maji Supported by the Science and Engineering Research Board(SERB)through the SRG(Start-up Research Grant)of File(SRG/2023/001093)。
文摘We present improved predictions of a class of event-shape distributions called angularity for a contribution from an effective operator in Higgs hadronic decay that suffers from large perturbative uncertainties.In the framework of the soft-collinear effective theory,logarithmic terms of the distribution are resummed at NNLL'accuracy,for which a two-loop constant of gluon-jet function for angularity is independently determined using a fit to the fixed-order distribution at the NLO corresponding to O(a_(s)^(2))relative to the Born rate.Our determination has reasonable agreement with the value in a recently released thesis.In the fit,we use an asymptotic form with a fractional power conjectured from recoil corrections at one-loop order,and it improves the accuracy of determining positive values of the angularity parameter a.The resummed distribution is matched to the NLO fixed-order results to make our predictions valid at all angularity values.We also discuss the first and subtracted moments of angularity as a function of a that enable the extraction of information on leading and subleading nonperturbative corrections associated with gluons.
基金National Natural Science Foundation of China,Grant/Award Numbers:51809290,51979093,52239009Project funded by Tibet Autonomous Region Key R&D Plan,Grant/Award Number:XZ202101ZY0002GPostgraduate Research&Practice Innovation Program of Jiangsu Province,Grant/Award Number:No.KYCX22_0656。
文摘This study aims to develop a high-precision and cost-efficient method for the threedimensional reconstruction of large particles in natural gravel and blasted rock fragments,utilizing Structure from Motion(SfM)and Multi-View Stereo(MVS)techniques.The proposed approach was applied to characterize the three-dimensional morphology of rockfill dam materials at a real construction site.Particle shape was quantitatively analyzed using shape indices of sphericity,convexity,and angularity.The predominant morphology of natural gravel is characterized as slightly elongated and slightly flat,while rock fragments are slightly elongated and not flat.Probability density distributions of shape indices follow a skewed normal distribution:sphericity and convexity show leftward skewness,whereas angularity is right-skewed.Skewness parameters of sphericity and angularity are consistent between natural gravel and blasted rock fragments,indicating comparable shape asymmetry.Convexity skewness is significantly higher in natural gravel compared to rock fragments,by approximately an order of magnitude.The relationship between size and particle shape shows that form ratios and associated shape descriptors change linearly with the logarithm of size;larger particles approach spherical or cubic forms.The innovative measurements contribute to the particle shape data set of rockfill dam materials,providing valuable insights into the three-dimensional and statistical morphological characteristics of relatively large particles in natural gravel and blasted rock fragments.This approach enhances understanding of particle morphology's impact on the mechanical behavior of granular materials.
基金supported by the National Natural Science Foundation of China(Grant Nos.U22A20187,52171007,52371111,and 52371177).
文摘Precipitation via thermal treatments is among the most effective approaches to strengthening and is widely applied in the Al industry. Thermal treatments combined with deformation are capable of finely regulating the process of precipitation and distribution of precipitates. Deformation-induced defects exert significant impacts on the precipitation and already present precipitates, which however is often overlooked. In this study, the interactions between deformation and precipitation/precipitates, and their impacts on mechanical properties were systematically investigated in the solution-treated (ST) Al-0.61Mg-1.17Si-0.5Cu (wt.%), processed by multi-pass equal channel angular pressing (ECAP) and thermal treatments. Novel deformation-mediated cyclic evolution of precipitates is discovered: ST→ (1,2 passes: deformation induced precipitation) Guinier Preston (GP) zones→ (An250/30) Q’ and L phases→ (3-pass: deformation induced fragmentation/resolution) spherical precipitates→ (4-pass: deformation induced further fragmentation/resolution) GP zones. On this basis, we extend the quasi-binary phase diagram of Al-Mg_(2)Si along deformation as the third dimension and construct an innovative defect phase diagram for the Al-Mg-Si-based system. To testify to the effect of deformation-mediated cyclic evolution of precipitation/precipitates on the optimum mechanical properties, peak-aging treatments were performed in samples of ST and 3-pass states. Based on the microscopic characterizations, a distinctive mechanism of peak-aging strengthening is proposed. Notably in the 3-pass ECAPed and peak-aged sample the dominant strengthening phases become the L precipitates that thrived from the segmented and spherical L phases, rather than β’’ precipitates in the solely peak-aged ST sample. Our work provides a feasible example for exploring the combined processing technique of multi-step deformation and thermal treatments, to optimize the mechanical properties.
基金financially supported by the National Natural Science Foundation of China(No.52374395)the Natural Science Foundation of Shanxi Province,China(Nos.20210302123135,202303021221143)+5 种基金the Scientific and Technological Achievements Transformation Guidance Special Project of Shanxi Province,China(Nos.202104021301022,202204021301009)the Central Government Guided Local Science and Technology Development Projects,China(No.YDZJSX20231B003)the Ministry of Science and Higher Education of the Russian Federation for financial support under the Megagrant(No.075-15-2022-1133)the National Research Foundation(NRF)grant funded by the Ministry of Science and ICT of Korea through the Research Institute of Advanced Materials(No.2015R1A2A1A01006795)the China Postdoctoral Science Foundation(No.2022M710541)the Research Project supported by Shanxi Scholarship Council of China(No.2022-038)。
文摘To investigate the effect of microstructure evolution on corrosion behavior and strengthening mechanism of Mg-1Zn-1Ca(wt.%)alloys,as-cast Mg-1Zn-1Ca alloys were performed by equal channel angular pressing(ECAP)with 1 and 4 passes.The corrosion behavior and mechanical properties of alloys were investigated by optical microscopy(OM),scanning electron microscopy(SEM),electron backscatter diffraction(EBSD),electrochemical tests,immersion tests and tensile tests.The results showed that mechanical properties improved after ECAP 1 pass;however,the corrosion resistance deteriorated due to high-density dislocations and fragmented secondary phases by ECAP.In contrast,synchronous improvement in the mechanical properties and corrosion resistance was achieved though grain refinement after ECAP 4 passes;fine grains led to a significant improvement in the yield strength,ultimate tensile strength,elongation,and corrosion rate of 103 MPa,223 MPa,30.5%,and 1.5843 mm/a,respectively.The enhanced corrosion resistance was attributed to the formation of dense corrosion product films by finer grains and the barrier effect by high-density grain boundaries.These results indicated that Mg-1Zn-1Ca alloy has a promising potential for application in biomedical materials.
基金supported by the National Nat-ural Science Foundation of China(Nos.12192251,12174185,92163216,and 62288101).
文摘The generation of optical vortices from nonlinear photonic crystals(NPCs)with spatially modulated second-order nonlinearity offers a promising approach to extend the working wavelength and topological charge of vortex beams for various applications.In this work,the second harmonic(SH)optical vortex beams generated from nonlinear fork gratings under Gaussian beam illumination are numerically investigated.The far-field intensity and phase distributions,as well as the orbital angular momentum(OAM)spectra of the SH beams,are analyzed for different structural topological charges and diffraction orders.Results reveal that higher-order diffraction and larger structural topological charges lead to angular interference patterns and non-uniform intensity distributions,deviating from the standard vortex profile.To optimize the SH vortex quality,the effects of the fundamental wave beam waist,crystal thickness,and grating duty cycle are explored.It is shown that increasing the beam waist can effectively suppress diffraction order interference and improve the beam’s quality.This study provides theoretical guidance for enhancing the performance of nonlinear optical devices based on NPCs.
文摘By introducing noncanonical vortex pairs to partially coherent beams, spatial correlation singularity (SCS) and orbital angular momenta (OAM) of the resulting beams are studied using the Fraunhofer diffraction integral. The effect of noncanonical strength, off-axis distance and vortex sign on spatial correlation singularities in far field is stressed. Furthermore, far-field OAM spectra and densities are also investigated, and the OAM detection and crosstalk probabilities are discussed. The results show that the number of dislocations of SCS always equals the sum of absolute values of topological charges for canonical or noncanonical vortex pairs. Although the sum of the product of each OAM mode and its power weight equals the algebraic sum of topological charges for canonical vortex pairs, the relationship no longer holds in the noncanonical case except for opposite-charge vortex pairs. The changes of off-axis distance, noncanonical strength or coherence length can lead to a more dominant power in adjacent mode than that in center detection mode, which also indicates that crosstalk probabilities of adjacent modes exceed the center detection probability. This work may provide potential applications in OAM-based optical communication, imaging, sensing and computing.
基金supported by the National Key R&D Project from Ministry of Science and Technology of China(Grant No.2022YFA1203100)the National Natural Science Foundation of China(Grant No.52350088)+1 种基金the Department of Science and Technology of Jiangsu Province(Grant No.BK20220032)the Postgraduate Research&Practice Innovation Program of Jiangsu Province(Grant No.KYCX241797)。
文摘The experimental realization of observable phonon angular momentum(PAM)in feasible systems using relatively simple methods remains a critical challenge.Motivated by the chiral-induced spin selectivity effect,this study explores the generation of PAM during the transport of electrically driven polarons along a singlestranded helix structure.We demonstrate that the motion of a polaron under an applied electric field inherently induces a finite PAM,exhibiting drift-locked behavior between the PAM and the polaron.By analyzing the time evolution of PAM distribution at each site,we identify the observed PAM as a natural consequence of coherent superposition between lattice waves,in which the chiral structure selectively determines the direction of induced PAM.Furthermore,we examine the roles of two types of electron-phonon interactions and structural periodicity in modulating PAM.These findings highlight the potential of chiral molecules as platforms for PAM generation and offer new insights into developing phonon-spin-based devices for information processing and transmission.
文摘In the burgeoning field of light-matter interactions,angular momentum has emerged as a pivotal factor,driving innovative research directions.This study delves into the interaction dynamics between vortex lights and an electromagnetically induced transparency(EIT)medium,with a primary focus on elucidating the underlying mechanism of angular momentum transfer.Through comprehensive theoretical analysis and numerical simulations,it is demonstrated that when the probe field carries orbital angular momentum(OAM),the dispersion and absorption characteristics of the EIT medium undergo periodic modulation.This modulation is intricately determined by the azimuthal phase and topological charge of the beam.Notably,the OAM in the driving field exerts no such influence on the medium’s properties.Leveraging vortex phase plates(VPPs)or spatial light modulators(SLMs)to manipulate the tunable OAM enables dynamic control over the EIT effect.This breakthrough not only deepens our understanding of light-matter interactions at the quantum level but also unlocks new avenues for high-dimensional quantum information processing and advanced optical communication technologies.
基金supported by the National Key Research and Development Program of China(grant No.2022YFC2205203)the National Natural Science Foundation of China(grant No.42241118)+1 种基金the Strategic Pilot Study Program of the Chinese Academy of Sciences(grant No.XDB0800103)the Key Incubation Project of Shanghai Astronomical Observatory,CAS.
文摘For some space radio telescopes,the orbit determination accuracy is not high enough,the time synchronization accuracy provided by the satellite platforms is low,and GNSS devices are not available.As a result,a traditional method that relies on GNSS devices to obtain an initial clock offset followed by performing correlation with the calibration source may fail to obtain fringes.Moreover,a brutal force search across the 2D clock offset and fringe rate search plane is computationally expensive.In light of these challenges,we propose a novel time synchronization method that utilizes the spacecraft’s telemetry tone signal.This method employs frequency polynomials derived from Doppler tracking for fringe rotation during the correlation process.By aligning the frequency of the target station precisely with that of the reference station,it is only necessary to split the clock offset search range into multiple time windows,perform correlation for each window,and identify the window with the highest signal-to-noise ratio(SNR).The precise clock offset is determined by combining the residual delay with the initial offset.To validate the method,we observe the Tianwen-1 telemetry signal with the 4.5 m small telescope in the Tianma campus of Shanghai Astronomical Observatory and 40 m telescope in Kunming.The results demonstrate that our method can accurately determine clock offset for a time range as wide as±10 ms,with an SNR slightly higher than that achieved with the delay model.This method is suitable for wide-range time synchronization for space Very Long Baseline Interferometry observations,especially in scenarios involving small antennas with low sensitivity and poor orbit determination accuracy.
基金supported by the Guangdong Major Project of Basic and Applied Basic Research(Grant No.2020B0301030008)the National Natural Science Foundation of China(Grant Nos.11935007 and 12035007)+1 种基金supported by the Open Foundation of the Key Laboratory of Quark and Lepton Physics(MOE)(Grant No.QLPL2023P01)the Talent Scientific Star-up Foundation of the China Three Gorges University(CTGU)(Grant No.2024RCKJ013)。
文摘We present the first theoretical study on heavy-flavor jet angularities(λ_(α)^(κ))in Pb+Pb collisions at√SNN=5.02 Te V.The initial production of heavy-flavor jets was carried out using the POWHEG+PYTHIA8 prescription.In contrast,the SHELL transport model describes jet evolution in the quark-gluon plasma(QGP).In p+p collisions,we observed narrower angularity distributions for D ^(0)-tagged jets than for inclusive jets,consistent with the ALICE preliminary results.We then demonstrate that jet quenching in the QGP slightly widens the angularity distribution of D ^(0)-tagged jets in Pb+Pb collisions relative to that in p+p collisions for a jet transverse momentum of 10<pch/T,jet<20 Ge V/c.In contrast,the angularity distributions of the inclusive and D ^(0)-tagged jets become narrower in Pb+Pb collisions relative to p+p atpch/T,jet>20 Ge V/c because of the strong influence of selection bias.Additionally,by comparing the average angularities<λ_(α)^(κ)>of the inclusive,D ^(0)-tagged,and B ^(0)-tagged jets with varyingαandκ,we show that the larger the quark mass,the lower the jet’s<λ_(α)^(κ)>values are.As a result of the slenderer initial distribution,we predict that compared with inclusive jets,heavy-flavor jets,especially B~0-tagged ones,will suffer stronger modifications of<λ_(α)^(κ)>in Pb+Pb relative to p+p at 10<pch/T,jet<20 Ge V/c.For a larger jet radius,a more significant broadening of the jet angularities was predicted because of the enhanced contribution of the wide-angle particles.
文摘Fast Radio Bursts(FRBs)have emerged as one of the most intriguing and enigmatic phenomena in the field of radio astronomy.The key of current related research is to obtain enough FRB signals.Computer-aided search is necessary for that task.Considering the scarcity of FRB signals and massive observation data,the main challenge is about searching speed,accuracy and recall.in this paper,we propose a new FRB search method based on Commensal Radio Astronomy FAST Survey(CRAFTS)data.The CRAFTS drift survey data provide extensive sky coverage and high sensitivity,which significantly enhance the probability of detecting transient signals like FRBs.The search process is separated into two stages on the knowledge of the FRB signal with the structural isomorphism,while a different deep learning model is adopted in each stage.To evaluate the proposed method,FRB signal data sets based on FAST observation data are developed combining simulation FRB signals and real FRB signals.Compared with the benchmark method,the proposed method F-score achieved 0.951,and the associated recall achieved 0.936.The method has been applied to search for FRB signals in raw FAST data.The code and data sets used in the paper are available at github.com/aoxipo.
文摘A parametrization of density matrices of ddimensions in terms of the raising J+and lowering J−angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann parameters. A general expression for the density matrix of the composite system of angular momenta j1and j2is obtained. In this matrix representation violations of the Bell-Clauser-Horne-Shimony-Holt inequalities are established for the X-states of a qubit-qubit, pure and mixed, composite system, as well as for a qubit-qutrit density matrix. In both cases maximal violation of the Bell inequalities can be reached, i.e., the Cirel’son limit. A correlation between the entanglement measure and a strong violation of the Bell factor is also given. For the qubit-qutrit composite system a time-dependent convex combination of the density matrix of the eigenstates of a two-particle Hamiltonian system is used to determine periodic maximal violations of the Bell’s inequality.
基金financial support of the National Natural Science Foundation of China(Nos.52001142 and 51975263).
文摘Zn–Ag alloys are highly promising materials for fabricating biodegradable orthopedic implants.Nonetheless,they suffer from inferior strength.A Zn–2.5Ag alloy was alloyed with different contents of Mg(0.08,0.5,and 1 wt.%)and then processed by equal channel angular pressing.Tensile tests and microstructure observation were conducted to investigate the impact of Mg addition on the microstructure and mechanical properties of Zn–2.5Ag alloy.Zn–2.5Ag alloy exhibits an ultrahigh elongation(EL)of 120.4%but a poor yield strength(YS)of 90.1 MPa,because of phase boundary sliding(PBS).Mg addition inhibits PBS and thus dramatically enhances YS but lowers EL.Specifically,YS of Zn–2.5Ag alloys containing Mg of 0.08%,0.5%,and 1%is 257.0,291.8,and 322.6 MPa,respectively.The alloys with 0.08%and 0.5%Mg possess an EL of around 30%,while the alloy with 1%Mg has an EL of only 11.0%.YS and EL of Zn–2.5Ag–0.5Mg alloy surpass that needed by orthopedic implants by 45.9%and 106.0%,respectively.Grain refinement strengthening is the main contributor to high strength.It is speculated that deformation twinning suppression and<c+a>pyramidal slip activation contribute to good ductility.
基金supported by the National Natural Science Foundation of China(No.51904036)the Hunan Provincial Key Research and Development Program(No.2023GK2049).
文摘The effect of rotational-die equal channel angular pressing(RD-ECAP)temperature and deformation route on the microstructure and mechanical properties of pre-extruded Mg-5Gd-3Y-1Zn-0.5Zr(wt%)alloys were investigated.The results indicate that the RD-ECAP updates both theα-Mg texture and long-period stack-ing ordered(LPSO)arrangement in the pre-extruded alloy,while theα-Mg texture is more sensitive to the change of deformation route.The LPSO streamlines modify the anisotropy of mechanical properties of the ECAP alloys via exerting different reinforcing effects and modifying the crack propagation.The lower ECAP temperature of 350℃ rather than 400℃ promotes dynamic precipitation which deteriorates the following ageing-hardening response but conduces to refining theα-Mg grains and preventing a sharp drop in elongation after peak ageing.The 350A peak-aged alloy exhibits the optimal mechanical proper-ties with the average tensile yield strength(TYS)of 311 MPa(S_(TYS)=3.7,S indicates standard deviation)and elongation of 7.6%(S_(EL)=0.7).Its higher strength should mainly be attributed to the finer grain size,and its quasi-isotropic performance should be inherited from the ECAP state induced by the rational arrangement of LPSO phases.
基金financially supported by Fund Program for Research Project Supported by Shanxi Scholarship Council of China(No.20230007)(jie bang guashuai)‘Open Competition’project:Preparation technology and product development of key new materials for 5G communication(No.20231207)+3 种基金Projects of the Patent Conversion Program in Shanxi Province(No.20241140)Research and Innovation Projects in Shanxi Province(No.2023KY633)Graduate Education Innovation Project at Taiyuan University of Science and Technology(No.BY2023003)Basic Research Plan Free Exploration of General Program in Shanxi Province(No.202303021221143).
文摘The low ductility and strong mechanical anisotropy of wrought magnesium alloys have hindered their further processing and application.In this study,AZ31 magnesium alloy sheet was prepared by a new asymmetrical angular rolling(AAR)process,compared with conventional symmetrical rolling(SR)process and asymmetrical rolling(ASR)process.The effects of three rolling processes on the microstructure,texture and mechanical properties of the alloy sheets were systematically studied.The results show that the AAR sheet exhibits excellent mechanical properties compared to other two rolling processes.It not only achieves the highest ductility of 17.9%,17.9%,and 18.5% in the three directions,but also has the lowest mechanical anisotropy values for yield strength,ultimate tensile strength and elongation.The AAR process significantly reduces the anisotropy of the material by achieving the smallest average grain size of 4.93μm and the most homogeneous grain size distribution.Introduced bi-directional asymmetric shear stresses randomizes grain orientation and activates the non-basal slip system,which also significantly reduces the anisotropy.In addition,the tensile twinning mechanism dominates during the AAR process,which contributes to texture weakening and the activation of the non-basal slip system.Through the synergy of these mechanisms,the AAR sheet is characterized by high ductility and low anisotropy.
基金supported by the National Natural Science Foundation of China(Grant Nos.51979099&51774109)Natural Science Foundation of Jiangsu Province of China(Grant No.BK 20191303)+2 种基金Key Research and Development Project of Jiangsu Province of China(Grant No.BE2017148)Postgraduate Research&Practice Innovation Program of Jiangsu Province(Grant No.KYCX22_0632)Suqian Sci&Tech Program(Grant No.K202113).
文摘The dilemma of choosing between superb grain boundary strengthening and excellent precipitation strengthening is commonly faced in the pursuit of high-strength age-hardenable Mg alloys.Here,a strategy for addressing this dilemma via the balance between grain refinement and weakening of dynamic precipitation is proposed and applied on a Mg-10.95Gd-2.06Ag(wt%)alloy treated by sequential processing of equalchannel angular pressing(ECAP),hot rolling and aging.The hot rolling leads to a noticeable dissolution of the dynamic precipitates intensively formed during prior ECAP,together with a tolerable grain growth.Meanwhile,numerous multi-twinning-induced lamellar bands(LBs)demarcated by coaxial grain boundaries(CGBs)subdivide the grains.For the first time,a quadruple twinning pattern for the formation of CGB with a misorientation of~135°is raised.During post-rolling aging,besides the commonβ’andγ”precipitates and theβnano-particles whose Gd/Ag ratio is much lower than that of dynamically precipitatedβparticles,theβ”/βT precipitates,CGB segregation,and stacking fault(SF)-associated segregation/γ’precipitates within LBs,are also involved with the precipitation structure.Benefiting from this complex precipitation structure,a good age-hardening ability manifested by the aging-induced tensile yield strength(TYS)increment reaching 115 MPa is attained.Combining with the strengthening from grain boundaries,dislocations,solutes,and basal texture,a high TYS of 447 MPa is achieved.
基金Project(52275350)supported by the National Natural Science Foundation of ChinaProject(0301006)supported by the International Cooperative Scientific Research Platform of SUES,China。
文摘In this study,the interaction between deformation and precipitates during multiple equal channel angular pressing(ECAP)deformations and inter-pass aging combination and its effect on the mechanical properties of 7050 aluminum alloy are studied.The result show that ECAP induces numerous substructures and dislocations,effectively promoting the precipitation of theηʹphase exhibiting a bimodal structure during inter-pass aging.Following inter-pass aging and subsequent ECAP,the decrease in grain size(4.8μm)is together with the increase in dislocation density(1.24×10^(15) m^(−2))due to the pinning effect of the precipitated phase.Simultaneously,the dislocation motion causes the second phase particles to become even finer and more diffuse.The synergistic effects of precipitation strengthening,fine grain strengthening,and dislocation strengthening collectively enhance the high strength of aluminum alloys,with ultimate tensile strength and yield strength reaching approximately 610 and 565 MPa,respectively.Meanwhile,ductility remains largely unchanged,primarily due to coordinated grain boundary sliding and the uniform and fine dispersion of second phase particles.
基金supported by Shaanxi Province Key Research and Development Plan(No.2023-YBGY-386)Shaanxi Province Key Research and Development Plan(No.2022-JBGS-07).
文摘In order to achieve high precision online prediction of surface roughness during turning process and improve cutting quality,a prediction method of turned surface roughness based on Gramian angular difference field(GADF)of multi-channel signal fusion and multi-scale attention residual network(MA-ResNet)was proposed.Firstly,the multi-channel vibration signals were subdivided into various frequency bands using wavelet packet decomposition,and the sensitive channels were selected for signal fusion by doing correlation analysis between the signals of various frequency bands and the surface roughness.Then the fused signals were converted into pictures using GADF image encoding.Finally,the pictures were inputted into the residual network model combining the parallel dilation convolution and attention module for training and verifying the effectiveness of the model performance.The proposed method has a root mean square error of 0.0187,a mean absolute error of 0.0143,and a coefficient of determination of 0.8694 in predicting the surface roughness,which is close to the actual value.Therefore,the proposed method had good engineering significance for high-precision prediction and was conducive to on-line monitoring of surface quality during workpiece processing.
基金supported by the National Natural Science Foundation of China(Nos.51971009,12002013,51831006)the Natural Science Foundation of Zhejiang Province,China(No.LZ23E010004).
文摘The angular deviations and influential factors of Burgers orientation relationship(BOR)in Ti-6Al-4V and Ti-6.5Al-2Zr-1Mo-1V alloys were investigated by optical microscope(OM),scanning electron microscope(SEM),electron backscattered diffraction(EBSD)and high-angle annular dark-field scanning transmission electron microscope(HAADF-STEM).A spherical center angle model was introduced to calculate the angular deviations from the ideal BOR between α and β phases.The results indicate thatαand β phases in α colonies of both alloys do not follow the perfect BOR during β→α phase transformation,with angular deviation values less than 3°.Through detailed microstructure characterization,the broad face of α/β interfaces viewed along two different electron incident directions shows the atomic-scale terrace-ledge structure,and many dislocations are observed within α and β phases and near α/β interfaces.Further studies reveal that the angular deviations mainly originate from lattice distortions caused by dislocations in α and β phases and lattice mismatches at α/β interfaces.
