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Microstructures and Phase Transition Points of As-Cast Mg-Zn-Y System Alloys 被引量:2
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作者 Feng Juanni Guo Xuefeng Xu Chunjie Zhang Zhongming 《Journal of Rare Earths》 SCIE EI CAS CSCD 2006年第1期120-120,共1页
As-east mierostruetures and their distribution of Mg-Zn-Y ternary alloy with high magnesium, low zinc and yttrium were examined using Nikon Epiphot optical microscopy (OM), RigakuD/max-3C X- ray diffraetion (XRD),... As-east mierostruetures and their distribution of Mg-Zn-Y ternary alloy with high magnesium, low zinc and yttrium were examined using Nikon Epiphot optical microscopy (OM), RigakuD/max-3C X- ray diffraetion (XRD), and JEOL JSM-6700F scanning electron microscopy (SEM) equipped with an energydispersive X-ray spectroscopy (EDS). In the as-east mierostructures, Yttrium and zinc tend to segregate at grain boundaries, 展开更多
关键词 as-cast microstructure Mg-Zn-Y alloy differential thermal analyzer phase transition point rare earths
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Magnetism-structure triple point morphotropic phase boundary and resulting W-type magnetostrictive effect in Ni_(50)Mn_(34)Sb_(16-x)Ga_(x) Heusler alloys
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作者 Qi-Zhong Zhao Fang-Hua Tian +8 位作者 Sen Kong Jia-Le Guo Zhi-Yong Dai Tie-Yan Chang Chao Zhou Yin Zhang Kai-Yan Cao Sen Yang Xiao-Ping Song 《Rare Metals》 2025年第3期1905-1916,共12页
The mutual coupling of structure and magnetism is crucial for Heusler alloys.In this paper,Ni_(50)Mn_(34)Sb_(16-x)Ga_(x)(0≤x≤16)alloys were prepared by arc melting.Based on the test results of structure and magnetis... The mutual coupling of structure and magnetism is crucial for Heusler alloys.In this paper,Ni_(50)Mn_(34)Sb_(16-x)Ga_(x)(0≤x≤16)alloys were prepared by arc melting.Based on the test results of structure and magnetism,the magnetic-structural phase diagram of Ni_(50)Mn_(34)Sb_(16-x)Ga_(x)(0≤x≤16)was drawn.The structure changes from cubic to monoclinic and finally to tetragonal as the x increases at room temperature.Its phase diagram shows a morphotropic phase boundary(MPB)starting from a tricritical triple point(around the Ni_(50)Mn_(34)Sb_(5)Ga_(11)alloy)of a cubic paramagnetic phase,ferromagnetic monoclinic,and antiferromagnetic tetragonal phases.And Ni_(50)Mn_(34)Sb_(5)Ga_(11)alloy has experienced five different phase states:paramagnetic austenite→ferromagnetic austenite→antiferromagnetic martensite→ferromagnetic martensite→spin glass as the temperature decreased.Further study of the alloys’magnetostrictive properties near the MPB showed that as x increases,a negative strain initially appears,followed by a W-type that crosses negative and positive strains,and then a positive strain.This is caused by the inconsistency in the speed and degree of magnetic domain walls response with monoclinic and tetragonal coexisting structures.This indicates that coupling between structure and magnetism is critical to the properties of materials.This work provides valuable insights into the magnetostrictive behavior and structural evolution of Heusler alloys,particularly in the context of MPB systems,and offers guidance for the design and optimization of material properties through controlled magnetic-structural interactions.Kindly check and confirm the edit made in the title.The edit made in the title has been confirmed to be accurate. 展开更多
关键词 Ferromagnetic shape memory alloy Heusler alloys MAGNETOSTRICTION Martensite transformation Triple point morphotropic phase boundary
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TOPOLOGICAL STRUCTURE OF THE SINGULAR POINTS OF THE THIRD ORDER PHASE LOCKED LOOP EQUATIONS WITH THE CHARACTER OF DETECTED PHASE BEING g(φ)=(1+k)sinφ/(1+kcosφ)
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作者 金均 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第9期883-889,共7页
In this paper, we study the topological structure of the singular points of the third order phase locked loop equations with the character of detected phase being g(?) =(1+k)sin?/1+kcos?.
关键词 singular point topological structure character of detected phase exponentially asymptotically stable Jordan form
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Triple points and phase transitions of D-dimensional dyonic Ad S black holes with quasitopological electromagnetism in Einstein–Gauss–Bonnet gravity
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作者 牟平辉 蒋青权 +1 位作者 何柯腱 李国平 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期272-287,共16页
By considering the negative cosmological constant Λ as a thermodynamic pressure, we study the thermodynamics and phase transitions of the D-dimensional dyonic Ad S black holes(BHs) with quasitopological electromagnet... By considering the negative cosmological constant Λ as a thermodynamic pressure, we study the thermodynamics and phase transitions of the D-dimensional dyonic Ad S black holes(BHs) with quasitopological electromagnetism in Einstein–Gauss–Bonnet(EGB) gravity. The results indicate that the small/large BH phase transition that is similar to the van der Waals(vdW) liquid/gas phase transition always exists for any spacetime dimensions. Interestingly, we then find that this BH system exhibits a more complex phase structure in 6-dimensional case that is missed in other dimensions.Specifically, it shows for D = 6 that we observed the small/intermediate/large BH phase transitions in a specific parameter region with the triple point naturally appeared. Moreover, when the magnetic charge turned off, we still observed the small/intermediate/large BH phase transitions and triple point only in 6-dimensional spacetime, which is consistent with the previous results. However, for the dyonic Ad S BHs with quasitopological electromagnetism in Einstein–Born–Infeld(EBI) gravity, the novel phase structure composed of two separate coexistence curves observed by Li et al. [Phys. Rev. D105 104048(2022)] disappeared in EGB gravity. This implies that this novel phase structure is closely related to gravity theories, and seems to have nothing to do with the effect of quasitopological electromagnetism. In addition, it is also true that the critical exponents calculated near the critical points possess identical values as mean field theory. Finally, we conclude that these findings shall provide some deep insights into the intriguing thermodynamic properties of the dyonic Ad S BHs with quasitopological electromagnetism in EGB gravity. 展开更多
关键词 AdS black hole phase transition triple point
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Exceptional point-induced knot structure transformations in non-Abelian braids
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作者 Lin-Sheng Bao Jia-Yun Ning +5 位作者 Ao-Qian Shi Peng Peng Zhen-Nan Wang Chao Peng Shuang-Chun Wen Jian-Jun Liu 《Chinese Physics B》 2026年第1期212-217,共6页
The strong connection between braids and knots provides valuable insights into studying the topological state and phase classification of various physical systems.The phenomenon of non-Hermitian(NH)two-and three-band ... The strong connection between braids and knots provides valuable insights into studying the topological state and phase classification of various physical systems.The phenomenon of non-Hermitian(NH)two-and three-band braiding has received widespread attention.However,a systematic exploration and visualization of non-Abelian braiding and the associated knot transformations in four-band systems remains unexplored.Here,we propose a theoretical model of NH four-band braiding,provide its phase diagram,and establish its trivial,Abelian,and non-Abelian braiding rules.Additionally,we report on special knots,such as the Hopf and Solomon links in braided knots,and reveal that their transformations are accompanied by and mediated through exceptional points.Our work provides a detailed case for studying NH multiband braiding and knot structures in four-band systems,which could offer insights for topological photonics and analog information processing applications. 展开更多
关键词 exceptional point knot structures phase transitions non-Abelian braids
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Optimal design of sintered Ce_9Nd_(21)Fe_(bal)B_1 magnets with a low-melting-point (Ce,Nd)-rich phase 被引量:10
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作者 Shu-lin Huang Hai-bo Feng +5 位作者 Ming-gang Zhu An-hua Li Yan-feng Li Ya-chao Sun Yue Zhang Wei Li 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2015年第4期417-422,共6页
A systemic investigation was done on the chemistry and crystal structure of boundary phases in sintered Ce9Nd21FebalB1 (wt%) magnets. Ce2Fe14B is believed to be more soluble in the rare-earth (RE)-rich liquid phas... A systemic investigation was done on the chemistry and crystal structure of boundary phases in sintered Ce9Nd21FebalB1 (wt%) magnets. Ce2Fe14B is believed to be more soluble in the rare-earth (RE)-rich liquid phase during the sintering process. Thus, the grain size and oxygen content were controlled via low-temperature sintering, resulting in high coercivity and maximum energy products. In addition, Ce formed massive agglomerations at the triple-point junctions, as confirmed by elemental mapping results. Transmission electron micros- copy (TEM) images indicated the presence of (Ce,Nd)Ox phases at grain boundaries. By controlling the composition and optimizing the preparation process, we successfully obtained Ce9Nd21FebalBx sintered magnets; the prepared magnets exhibited a residual induction, coerciv- ity, and energy product of 1.353 T, 759 kA/m, and 342 kJ/m3, respectively. 展开更多
关键词 MAGNETS liquid phases eutectic point ENRICHMENT optimal design
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A Precise Calibration Method on Phase Center of Uplink Antenna Array Considering Its Actual Pointing 被引量:4
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作者 Zongchun LI Zhiyong LU +4 位作者 Guanyu ZHANG Bo LIU Qiqiang FENG Yinggang GUO Hua HE 《Journal of Geodesy and Geoinformation Science》 2020年第1期93-101,共9页
With regard to the inferior techniques and low accuracy of phase center calibration of an antenna array, this paper proposes a new calibration method considering the actual antenna pointing by introducing a precise en... With regard to the inferior techniques and low accuracy of phase center calibration of an antenna array, this paper proposes a new calibration method considering the actual antenna pointing by introducing a precise engineering surveying technique to measure the real state of antennas. First, an industrial photogrammetric system is utilized to obtain the coordinates of points on antenna panels in different postures, and the actual pointing of the mechanical axis is obtained via least-squares fitting. Then, based on this, the coordinates of antenna rotation center are obtained by seeking the intersection of mechanical axes via using the matrix method. Finally, the mechanical axis in arbitrary postures is estimated based on the inverse-angle weighting interpolation method, and the reliable phase center is obtained by moving a fixed length from the projective center along the mechanical axis. An uplink antenna array including three ? 3 m antennas is taken as experimental object, and all photogrammetric coordinate systems are unified by the engineering control network, with each antenna phase center precisely calibrated via the proposed method. The results of electrical signal synthesis indicate that this method can effectively overcome the influence of gravity deformation and mechanical installation error, and enhance the synthetic signal magnitude of the uplink antenna array. 展开更多
关键词 UPLINK array phase CENTER ROTATION CENTER actual antenna pointING THREE-DIMENSION control network PRECISE calibration
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INTERSECTION POINT RULE OF THE RETENTION VALUE AND MOBILE PHASE COMPOSITION OF THE HOMOLOGUES IN REVERSED-PHASE HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY 被引量:1
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作者 Fu An WANG Chang Sheng YANG +2 位作者 Yuan Li JIANG Deng Gao JIANG Da Zhuang LIU 《Chinese Chemical Letters》 SCIE CAS CSCD 1992年第11期907-910,共4页
Based on the intersection point rule of the retention value and normal boiling point of homologues in reversed-phase high-performance liquid chromatography(RPLC), the intersection point rule of the retention value of ... Based on the intersection point rule of the retention value and normal boiling point of homologues in reversed-phase high-performance liquid chromatography(RPLC), the intersection point rule of the retention value of homologues and mobile phase composition has been derived, and was testified by a lot of experimental data from the literature. With this newly proposed equation, we can use the retention value of the compound in one mobile phase composition to predict its retention value in any other mobile phase composition. For fourteen groups of homologues in five mobile phase compositions on five Kinds of columns, the overall average absolute error of 721 data sets is 2.8%. 展开更多
关键词 INTERSECTION point RULE OF THE RETENTION VALUE AND MOBILE phase COMPOSITION OF THE HOMOLOGUES IN REVERSED-phase HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY
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STUDY ON STRUCTURE OF SINGULARPOINTS OF LAMINAR FLAME SYSTEM
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作者 王秀娥 殷先军 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第5期679-684,共6页
Under some certain assumptions, the physical model of the air combustion system was simplified to a laminar flame system. The mathematical model of the laminar flame system, which was built according to thermodynamics... Under some certain assumptions, the physical model of the air combustion system was simplified to a laminar flame system. The mathematical model of the laminar flame system, which was built according to thermodynamics theory and the corresponding conservative laws, was studied. With the aid of qualitative theory and method of ordinary differential equations, the location of singular points on the Rayleigh curves is determined, the qualitative structure and the stability of the singular points of the laminar flame system, which are located in the areas of deflagration and detonation, are given for different parameter values and uses of combustion. The phase portraits of the laminar flame system in the reaction-stagnation enthalpy and combustion velocity-stagnation enthalpy planes are shown in the corresponding figures. 展开更多
关键词 laminar flame system Rayleigh curve singular point ORBIT phase portrait
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Determining the structural phase transition point from the temperature of ^(40)Ca^+ Coulomb crystal
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作者 陈婷 杜丽军 +5 位作者 宋红芳 刘培亮 黄垚 童昕 管桦 高克林 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第12期155-158,共4页
We observed the linear-to-zigzag structural phase transition of a ^40Ca^+ crystal in a homemade linear Paul trap. The values of the total temperature of the ion crystals during the phase transition are derived using ... We observed the linear-to-zigzag structural phase transition of a ^40Ca^+ crystal in a homemade linear Paul trap. The values of the total temperature of the ion crystals during the phase transition are derived using the molecular-dynamics(MD) simulation method. A series of simulations revealed that the ratio of the radial to axial secular frequencies has a dependence on the total temperature that obeys different functional forms for linear and zigzag structures, and the transition point occurs where these functions intersect; thus, the critical value of the ratio of secular frequencies that drives the structure phase transition can be derived. 展开更多
关键词 phase transition point ion crystal structure molecular-dynamics simulation
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Study of Dielectric and Mechanical Spectra on Point Defects and Phase Transition in Ferroelectric Ceramics
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作者 ZHU J S LI W +2 位作者 CHEN K LU X M WANG Y N 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第S1期18-18,共1页
Ferroelectric materials have enormous potential applications in advanced techniques. However, there are still many problems in its practical application. Dielectric and mechanical (internal friction) measurements are ... Ferroelectric materials have enormous potential applications in advanced techniques. However, there are still many problems in its practical application. Dielectric and mechanical (internal friction) measurements are very sensitive to phase transitions, relaxation process of point defects, domain walls and their mobility, which have severe effect on ferroelectric properties. These make them become very good means to investigate substantial information on structural features and to explore the fundamental principles in ferroelectric materials and their applications. In this paper, the dielectric and internal friction measurement were used to investigate the behaviors for point defects and phase transition in ferroelectric ceramics such as Bi_ 4-x La_ x Ti_ 3 O_ 12 , Bi_ 4 Ti_ 3-y Nb_ y O_ 12 , SrBi_ 2 Ti_ 2 O_ 9 , PbZr_ x Ti_ 1-x O_ 3 ,_ PMN-PT. They were used to clarify the mechanism for some ferroelectric behaviors. 展开更多
关键词 Dielectric and mechanic spectra Ferroelectric ceramics point defects and phase transition.
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Fluid phases of argon: A debate on the absence of van der Waals’ “critical point”
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作者 Leslie V. Woodcock 《Natural Science》 2013年第2期194-206,共13页
A phase diagram of argon based upon percolation transition loci determined from literature experimental p-V isotherms, and simulation values using a Lennard-Jones model shows three fluid phases. The liquid phase spans... A phase diagram of argon based upon percolation transition loci determined from literature experimental p-V isotherms, and simulation values using a Lennard-Jones model shows three fluid phases. The liquid phase spans all temperatures, from a metastable amorphous ground state at 0K, to ultra-high T. There is a supercritical mesophase bounded by percolation transition loci, and a gas phase. Intersection of two percolation loci in the p-T plane thermodynamically defines a critical line between two coexisting gas and liquid critical states at T = Tc, and the single mesophase for T > Tc. A debate on the absence of a van der Waals critical point in the Gibbs p-T density surface is appended. 展开更多
关键词 CRITICAL point SUPERCRITICAL FLUIDS Liquid phase
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Staggered Quadrupolar Phase and Bicritical Point of Spin-1 Bond and Anisotropy Dilution Blume-Emery-Griffiths Model
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作者 DONG Heng-Ping YAN Shi-Lei 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第2期511-515,共5页
Within the effective field theory (EFT), staggered quadrupolar phase and bicritical point of spin-1 bond and anisotropy dilution Blume-Emery-Griffiths model is studied on simple cubic lattice in the restricted range... Within the effective field theory (EFT), staggered quadrupolar phase and bicritical point of spin-1 bond and anisotropy dilution Blume-Emery-Griffiths model is studied on simple cubic lattice in the restricted range of biquadratic interaction and bilinear interaction ratio α≤-1. The phase diagrams present a line of staggered quadrupolarparamagnetic (SQ-P) phase and a line of ferromagnetic-paramagnetic (F-P) phase, separated by a bicritical point (BCP). A large negative ratio and two different dilution factors magnify the range of the SQ phase and reduce range of ferro- magnetic phase in T-α or T-D plane. These parameters can assist the reentrant behavior of the SQ-P line and suppress that of the F-P line. The influence of bond dilution on the BCP is dissimilar to that of anisotropy dilution. There is a degenerate pattern at ground state in T-D plane. Some results obtained by the pure BEG model is in qualitative agreement with the results of Monte Carlo simulations. 展开更多
关键词 Blume-Emery-Grifiiths model staggered quadrupolar phase bicritical point bond and anisotropy dilution
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Stationary phase point extraction based on high-resolution radon transform and its application to multiple attenuation by wavefield extrapolation
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作者 LI Aoqi WANG Deli +2 位作者 LU Juntao LIU Chengming WANG Tong 《Global Geology》 2017年第2期98-105,共8页
Multiple prediction and subtraction techniques based on wavefield extrapolation are effective for suppressing multiple related to water layers. In the conventional wavefield extrapolation method,the multiples of the s... Multiple prediction and subtraction techniques based on wavefield extrapolation are effective for suppressing multiple related to water layers. In the conventional wavefield extrapolation method,the multiples of the seismic data are predicted from the known total wave field by the Green function convoluted with each point of the bottom. However,only the energy near the stationary phase point has an effect on the summation result when the convolutional gathers are added. The research proposed a stationary phase point extraction method based on high-resolution radon transform. In the radon domain,the energy near the stationary phase point is directly added along the convolutional gathers curve,which is a valid solution to the problem of the unstable phase of the events of multiple. The Curvelet matching subtraction technique is used to remove the multiple,which improved the accuracy of the multiple predicted by the wavefield extrapolation and the artifacts appearing around the events of multiple are well eliminated. The validity and feasibility of the proposed method are verified by the theoretical and practical data example. 展开更多
关键词 high-resolution radon transform MULTIPLE wavefield extrapolation stationary phase point
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Design of a coated thinly clad chalcogenide long-period fiber grating refractive index sensor based on dual-peak resonance near the phase matching turning point
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作者 齐倩玉 李耀威 +3 位作者 刘婷 张培晴 戴世勋 徐铁峰 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第1期327-333,共7页
A novel method for designing chalcogenide long-period fiber grating(LPFG) sensors based on the dual-peak resonance effect of the LPFG near the phase matching turning point(PMTP) is presented. Refractive index sensing ... A novel method for designing chalcogenide long-period fiber grating(LPFG) sensors based on the dual-peak resonance effect of the LPFG near the phase matching turning point(PMTP) is presented. Refractive index sensing in a high-refractive-index chalcogenide fiber is achieved with a coated thinly clad film. The dual-peak resonant characteristics near the PMTP and the refractive index sensing properties of the LPFG are analyzed first by the phase-matching condition of the LPFG. The effects of film parameters and cladding radius on the sensitivity of refractive index sensing are further discussed. The sensor is optimized by selecting the appropriate film parameters and cladding radius. Simulation results show that the ambient refractive index sensitivity of a dual-peak coated thinly clad chalcogenide LPFG at the PMTP can be 2400 nm/RIU, which is significantly higher than that of non-optimized gratings. It has great application potential in the field of chemical sensing and biosensors. 展开更多
关键词 chalcogenide longperiod fiber grating dual-peak resonance phase matching turning point refractive index sensor
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Potential Correlation between Spontaneous Emulsification and the Plait Point in the System Water/Benzene/Ethanol: A Phase Diagram Approach
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作者 Stig E. Friberg 《Soft》 2013年第1期1-6,共6页
The separation of phases after the stability composition at a plait point is exceeded has significant effect on the reactions during spontaneous emulsification, but experimental efforts to obtain accurate information ... The separation of phases after the stability composition at a plait point is exceeded has significant effect on the reactions during spontaneous emulsification, but experimental efforts to obtain accurate information are extremely difficult, because even the smallest scattering of the numbers has a large effect on the result. In the present contribution a model system was applied that closely mirrored experimental values and the mass ratio of the two phases could be calculated with high accuracy. Extrapolation of the ratio between phase masses towards the critical composition showed the two phase masses each close to 0.5, while a composition with a miniscule difference from this composition extrapolated to 1.0. The results showed spontaneous emulsification between solutions at the plait point and water to consist of two processes;an initial extremely fast reaction and a slower process between the aqueous phase formed in the primary emulsification and water. 展开更多
关键词 Emulsions SPONTANEOUS EMULSIFICATION phase DIAGRAMS Plait point
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Beam-pointing error compensation method of phased array radar seeker with phantom-bit technology 被引量:6
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作者 Qiuqiu WEN Tianyu LU +1 位作者 Qunli XIA Zedong SUN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2017年第3期1217-1230,共14页
A phased array radar seeker(PARS) must be able to effectively decouple body motion and accurately extract the line-of-sight(LOS) rate for target missile tracking.In this study,the realtime two-channel beam pointin... A phased array radar seeker(PARS) must be able to effectively decouple body motion and accurately extract the line-of-sight(LOS) rate for target missile tracking.In this study,the realtime two-channel beam pointing error(BPE) compensation method of PARS for LOS rate extraction is designed.The PARS discrete beam motion principium is analyzed,and the mathematical model of beam scanning control is finished.According to the principle of the antenna element shift phase,both the antenna element shift phase law and the causes of beam-pointing error under phantom-bit conditions are analyzed,and the effect of BPE caused by phantom-bit technology(PBT) on the extraction accuracy of the LOS rate is examined.A compensation method is given,which includes coordinate transforms,beam angle margin compensation,and detector dislocation angle calculation.When the method is used,the beam angle margin in the pitch and yaw directions is calculated to reduce the effect of the missile body disturbance and to improve LOS rate extraction precision by compensating for the detector dislocation angle.The simulation results validate the proposed method. 展开更多
关键词 Beam-pointing error Beam scanning control Line-of-sight rate extraction Phantom-bit technology phased array radar seeker
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Directional Analysis of the Chaotic Superlattice around the Equilibrium Point in the Phase Space
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作者 Yan-Fei Liu Dong-Dong Yang +1 位作者 Li-Xin Wang Qi Li 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第4期82-85,共4页
The recently proposed method of our research group named as directional Lyapunov exponents(DLEs) is presented. Then, DLEs are used to analyze the eigenstructure of the output phase space around the equilibrium point... The recently proposed method of our research group named as directional Lyapunov exponents(DLEs) is presented. Then, DLEs are used to analyze the eigenstructure of the output phase space around the equilibrium points. Finally, the impacts of the superlattice parameter changes on the characteristics of the output chaotic signal are analyzed. The experimental results show that parameter changes of the superlattice will affect the eigenstructure around the equilibrium points in the output phase space, and DLEs are sensitive to these changes. 展开更多
关键词 DLE Directional Analysis of the Chaotic Superlattice around the Equilibrium point in the phase Space
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Deconfined Quantum Critical Point: A Review of Progress
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作者 Yi Cui Rong Yu Weiqiang Yu 《Chinese Physics Letters》 2025年第4期166-176,共11页
Deconfined quantum critical points(DQCPs)have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns,beyond the conventional fram... Deconfined quantum critical points(DQCPs)have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns,beyond the conventional framework of Landau-Ginzburg-Wilson(LGW)theory.At the DQCP,the system exhibits emergent gauge fields,fractionalized excitations,and enhanced symmetries. 展开更多
关键词 deconfined quantum critical points dqcps fractionalized excitations enhanced symmetries emergent gauge fields two ordered phases quantum phase transitions deconfined quantum critical points emergent gauge fieldsfractionalized excitationsand
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A material point finite element method for thermo-hydro-mechanical modeling in poro-elastic media with brittle fracturing
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作者 Zhaonan Wang Louis Ngai Yuen Wong 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第6期3299-3315,共17页
In this study,a powerful thermo-hydro-mechanical(THM)coupling solution scheme for saturated poroelastic media involving brittle fracturing is developed.Under the local thermal non-equilibrium(LTNE)assumption,this sche... In this study,a powerful thermo-hydro-mechanical(THM)coupling solution scheme for saturated poroelastic media involving brittle fracturing is developed.Under the local thermal non-equilibrium(LTNE)assumption,this scheme seamlessly combines the material point method(MPM)for accurately tracking solid-phase deformation and heat transport,and the Eulerian finite element method(FEM)for effectively capturing fluid flow and heat advection-diffusion behavior.The proposed approach circumvents the substantial challenges posed by large nonlinear equation systems with the monolithic solution scheme.The staggered solution process strategically separates each physical field through explicit or implicit integration.The characteristic-based method is used to stabilize advection-dominated heat flows for efficient numerical implementation.Furthermore,a fractional step approach is employed to decompose fluid velocity and pressure,thereby suppressing pore pressure oscillation on the linear background grid.The fracturing initiation and propagation are simulated by a rate-dependent phase field model.Through a series of quasi-static and transient simulations,the exceptional performance and promising potential of the proposed model in addressing THM fracturing problems in poro-elastic media is demonstrated. 展开更多
关键词 Thermo-hydro-mechanical(THM)coupling Local thermal non-equilibrium(LTNE) Material point method(MPM) Characteristic-based method phase field model
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