Hydrogen partitioning between liquid iron alloys and silicate melts governs its distribution and cycling in Earth’s deep interior.Existing models based on simplified Fe-H systems predict strong hydrogen sequestration...Hydrogen partitioning between liquid iron alloys and silicate melts governs its distribution and cycling in Earth’s deep interior.Existing models based on simplified Fe-H systems predict strong hydrogen sequestration into the core.However,these models do not account for the modulating effects of major light elements such as oxygen and silicon in the core during Earth’s primordial differentiation.In this study,we use first-principles molecular dynamics simulations,augmented by machine learning techniques,to quantify hydrogen chemical potentials in quaternary Fe-O-Si-H systems under early core-mantle boundary conditions(135 GPa,5000 K).Our results demonstrate that the presence of 5.2 wt%oxygen and 4.8 wt%silicon reduces the siderophile affinity of hydrogen by 35%,decreasing its alloy-silicate partition coefficient from 18.2(in the case of Fe-H)to 11.8(in the case of Fe-O-Si-H).These findings suggest that previous estimates of the core hydrogen content derived from binary system models require downward revision.Our study underscores the critical role of multicomponent interactions in core formation models and provides first-principles-derived constraints to reconcile Earth’s present-day hydrogen reservoirs with its accretionary history.展开更多
To obtain materials capable of efficiently separating acetylene(C_(2)H_(2))from carbon dioxide(CO_(2))and eth-ylene(C_(2)H_(4)),In this work,based on the pore space partition strategy,a pacs-metal-organic framework(MO...To obtain materials capable of efficiently separating acetylene(C_(2)H_(2))from carbon dioxide(CO_(2))and eth-ylene(C_(2)H_(4)),In this work,based on the pore space partition strategy,a pacs-metal-organic framework(MOF):(NH_(2)Me_(2))_(2)[Fe_(3)(μ_(3)-O)(bdc)_(3)][In(FA)_(3)Cl_(3)](Fe‑FAIn‑bdc)was synthesized successfully by using the metal-formate com-plex[In(FA)_(3)Cl_(3)]^(3-)as the pore partition units,where bdc^(2-)=terephthalate,FA-=formate.Owing to the pore partition effect of this metal-organic building block,fruitful confined spaces are formed in the network of Fe‑FAIn‑bdc,endowing this MOF with superior separation performance of acetylene and carbon dioxide.According to the adsorp-tion test,this MOF exhibited a high adsorption capacity for C_(2)H_(2)(50.79 cm^(3)·g^(-1))at 298 K and 100 kPa,which was much higher than that for CO_(2)(29.99 cm^(3)·g^(-1))and C_(2)H_(4)(30.94 cm^(3)·g^(-1))under the same conditions.Ideal adsorbed solution theory(IAST)calculations demonstrate that the adsorption selectivity of Fe‑FAIn‑bdc for the mixture of C_(2)H_(2)/CO_(2)and C_(2)H_(2)/C_(2)H_(4)in a volume ratio of 50∶50 was 3.08 and 3.65,respectively,which was higher than some reported MOFs such as NUM-11 and SNNU-18.CCDC:_(2)453954.展开更多
In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).A...In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).Additionally,we establish the upper and lower bounds of these functions,factoring in the explicit error terms involved.Crucially,our findings reveal that a(n)and b(n)both satisfy several inequalities such as log-concavity,third-order Turan inequalities,and strict log-subadditivity.展开更多
The Co-Ni-Ti-V quaternary phase diagrams within the Co-Ni-rich region were investigated using the electron probe X-ray micro-analyzer(EPMA)and X-ray diffraction(XRD).Three isothermal sections corresponding to the Co-1...The Co-Ni-Ti-V quaternary phase diagrams within the Co-Ni-rich region were investigated using the electron probe X-ray micro-analyzer(EPMA)and X-ray diffraction(XRD).Three isothermal sections corresponding to the Co-10Ni-Ti-V,Co-15Ni-Ti-V,and Co-20Ni-Ti-V quaternary systems at 1000°C were experimentally established.The results indicate that increasing Ni content markedly broadens theγ(α-Co)andγ′(Co3Ti)two-phase regions.Based on the Co-Ni-Ti-V phase diagram,alloys with highγ′solvus temperature were designed,and their comprehensive properties,includingγ′coarsening behavior and mechanical properties,were thoroughly investigated.Compared to Co-Ti-based superalloys,the Co-20Ni-10Ti-10V alloy exhibits lower coarsening rates ofγ′precipitates andγ/γ′lattice mismatch.Notably,it possesses exceptional high-temperature mechanical properties,with a yield strength of 508 MPa at 1000°C.This superior performance is primarily attributed to the presence of a high density of stacking fault shear.展开更多
This paper addresses the complexity of wake control in large-scale wind farms by proposing a partitioning control algorithm utilizing the FLORIDyn(FLOW Redirection and Induction Dynamics)dynamic wake model.First,the i...This paper addresses the complexity of wake control in large-scale wind farms by proposing a partitioning control algorithm utilizing the FLORIDyn(FLOW Redirection and Induction Dynamics)dynamic wake model.First,the impact of wakes on turbine effective wind speed is analyzed,leading to a quantitative method for assessing wake interactions.Based on these interactions,a partitioning method divides the wind farm into smaller,computationally manageable zones.Subsequently,a heuristic control algorithm is developed for yaw optimization within each partition,reducing the overall computational burden associated with multi-turbine optimization.The algorithm’s effectiveness is evaluated through case studies on 11-turbine and 28-turbine wind farms,demonstrating power generation increases of 9.78%and 1.78%,respectively,compared to baseline operation.The primary innovation lies in coupling the higher-fidelity dynamic FLORIDyn wake model with a graph-based partitioning strategy and a computationally efficient heuristic optimization,enabling scalable and accurate yaw control for large wind farms,overcoming limitations associated with simplified models or centralized optimization approaches.展开更多
The implicit partition algorithm used to solve fluid–structure coupling problems has high accuracy,but it requires a long computation time.In this paper,a semi-implicit fluid–structure coupling algorithm based on mo...The implicit partition algorithm used to solve fluid–structure coupling problems has high accuracy,but it requires a long computation time.In this paper,a semi-implicit fluid–structure coupling algorithm based on modal force prediction-correction is proposed to improve the computational efficiency.In the pre-processing stage,the fluid domain is assumed to be a pseudo-elastic solid and merged with the solid domain to form a holistic system,and the normalized modal information of the holistic system is calculated and stored.During the sub-step cycle,the modal superposition method is used to obtain the response of the holistic system with the predicted modal force as the load,so that the deformation of the structure and the updating of the fluid mesh can be achieved simultaneously.After solving the Reynolds-averaged Navier-Stokes equations in the fluid domain,the predicted modal force is corrected and a new sub-step cycle is started until the converged result is obtained.In this method,the computation of the fluid equations and the updating of the dynamic mesh are done implicitly,while the deformation of the structure is done explicitly.Two numerical cases,vortex induced oscillation of an elastic beam and fluid–structure interaction of a final stage blade,are used to verify the efficiency and accuracy of the proposed algorithm.The results show that the proposed method achieves the same accuracy as the implicit method while the computational time is reduced.In the case of the vortex-induced oscillation problem,the computational time can be reduced to 18.6%.In the case of the final stage blade vibration,the computational time can be reduced to 53.8%.展开更多
The effect of high pressure on the microstructure and microsegregation of Mg-11Al(mass fraction,%)alloys was studied through experiments and first-principles calculations.The results show that the Al content in the in...The effect of high pressure on the microstructure and microsegregation of Mg-11Al(mass fraction,%)alloys was studied through experiments and first-principles calculations.The results show that the Al content in the initial solid phase is high owing to the high solute partition coefficient and the large undercooling in the alloys solidified under pressures of 4-6 GPa,and the Al content in the initial solid phase increases with the increase of pressure.Consequently,the total amount of excess solute in the liquid phase in the final solidification stage decreases with increasing pressure,thus decreasing or suppressing the eutectic transformation.Furthermore,the microstructure of the alloys solidified under pressures of 5-6 GPa is a fine-grained solid solution,consisting of grains with high solubility of Al atoms and grain boundaries with abundant Al solutes.As the pressure increases,the grain boundary doping energy of Al atoms decreases,while their grain boundary segregation energy of Al atoms increases,and the charge density between the Mg-Al(Mg)bonds also rises.Therefore,the stability of the microstructure is improved,and the bond strength of grain boundaries is enhanced.展开更多
This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical...This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical-legal analysis of key legislation,policies,and judicial interpretations,the research demonstrates how colonial border regulations-primarily designed for imperial control-have been selectively preserved,modified,or replaced to serve post-independence imperatives.Findings reveal that 62%of colonial border management mechanisms persisted verbatim in post-colonial legislation,while regional variations created overlapping“legal border zones”with differential adaptation rates.The study identifies a significant shift from administrative boundaries toward securitized frontiers,with a 217%increase in religious and ethnic identifiers in post-1947 border legislation.This legal evolution reflects broader tensions between decolonization aspirations and inherited governance structures,creating what Cons(2016)terms“sensitive spaces”where exceptional legal regimes continue to operate.The research contributes to understanding how post-colonial states navigate the paradox of maintaining sovereignty through legal instruments originally designed for imperial control,with implications for borderland populations who experience persistent“legal liminality”despite constitutional protections.展开更多
We studied the energy partition between two well-separated fission fragments associated with the partition of nucleons owing to quantum entanglement.This is different from most fission models that invoke an explicit s...We studied the energy partition between two well-separated fission fragments associated with the partition of nucleons owing to quantum entanglement.This is different from most fission models that invoke an explicit statistical partition of excitation energies.The dynamical fission evolution is described within the time-dependent Hartree-Fock+BCS framework.Excitation energies of isotopic fission fragments were obtained using the particle number projection method after the dynamical splitting of^(238)U.The resulting excitation energies of the light and heavy fragments are consistent with the appearance of sawtooth structures.We found that the pairing correlation strengths have a significant influence on the partition of the excitation energies.Furthermore,the excitation energies of isotopic fragments increase with increasing neutron number,implying the suppression of the production of neutron-rich beams in rare-isotope beam facilities.展开更多
Low-carbon smart parks achieve selfbalanced carbon emission and absorption through the cooperative scheduling of direct current(DC)-based distributed photovoltaic,energy storage units,and loads.Direct current power li...Low-carbon smart parks achieve selfbalanced carbon emission and absorption through the cooperative scheduling of direct current(DC)-based distributed photovoltaic,energy storage units,and loads.Direct current power line communication(DC-PLC)enables real-time data transmission on DC power lines.With traffic adaptation,DC-PLC can be integrated with other complementary media such as 5G to reduce transmission delay and improve reliability.However,traffic adaptation for DC-PLC and 5G integration still faces the challenges such as coupling between traffic admission control and traffic partition,dimensionality curse,and the ignorance of extreme event occurrence.To address these challenges,we propose a deep reinforcement learning(DRL)-based delay sensitive and reliable traffic adaptation algorithm(DSRTA)to minimize the total queuing delay under the constraints of traffic admission control,queuing delay,and extreme events occurrence probability.DSRTA jointly optimizes traffic admission control and traffic partition,and enables learning-based intelligent traffic adaptation.The long-term constraints are incorporated into both state and bound of drift-pluspenalty to achieve delay awareness and enforce reliability guarantee.Simulation results show that DSRTA has lower queuing delay and more reliable quality of service(QoS)guarantee than other state-of-the-art algorithms.展开更多
The multifunctional integration system(MFIS)is based on a common hardware platform that controls and regulates the system’s configurable parameters through software to meet dif-ferent operational requirements.Dwell s...The multifunctional integration system(MFIS)is based on a common hardware platform that controls and regulates the system’s configurable parameters through software to meet dif-ferent operational requirements.Dwell scheduling is a key for the system to realize multifunction and maximize the resource uti-lization.In this paper,an adaptive dwell scheduling optimization model for MFIS which considers the aperture partition and joint radar communication(JRC)waveform is established.To solve the formulated optimization problem,JRC scheduling condi-tions are proposed,including time overlapping condition,beam direction condition and aperture condition.Meanwhile,an effec-tive mechanism to dynamically occupy and release the aperture resource is introduced,where the time-pointer will slide to the earliest ending time of all currently scheduled tasks so that the occupied aperture resource can be released timely.Based on them,an adaptive dwell scheduling algorithm for MFIS with aperture partition and JRC waveform is put forward.Simulation results demonstrate that the proposed algorithm has better com-prehensive scheduling performance than up-to-date algorithms in all considered metrics.展开更多
The vibration analysis of Kirchhoff plates requires robust mass lumping schemes to guarantee numerical stability and accuracy.However,existing methods fail to generate symmetric and positive definite mass matrices whe...The vibration analysis of Kirchhoff plates requires robust mass lumping schemes to guarantee numerical stability and accuracy.However,existing methods fail to generate symmetric and positive definite mass matrices when handling rotational degrees of freedom,leading to compromised performance in both time and frequency domains analyses.This study proposes a manifold-based mass lumping scheme that systematically resolves the inertia matrix formulas for rotational/torsional degrees of freedom.By reinterpreting the finite element mesh as a mathematical cover composed of overlapping patches,Hermitian interpolations for plate deflection are derived using partition of unity principles.The manifold-based mass matrix is constructed by integrating the virtual work of inertia forces over these patches,ensuring symmetry and positive definiteness.Numerical benchmarks demonstrate that the manifold-based mass lumping scheme performance can be comparable or better than the consistent mass scheme and other existing mass lumping schemes.This work establishes a unified theory for mass lumping in fourth order plate dynamics,proving that the widely used row-sum method is a special case of the manifold-based framework.The scheme resolves long-standing limitations in rotational/torsional inertia conservation and provides a foundation for extending rigorous mass lumping to 3D shell and nonlinear dynamic analyses.展开更多
BACKGROUND Associating liver partition and portal vein ligation for staged hepatectomy(ALPPS)is a procedure used for patients with initially unresectable colorectal liver metastases(CRLM).However,the procedure has bee...BACKGROUND Associating liver partition and portal vein ligation for staged hepatectomy(ALPPS)is a procedure used for patients with initially unresectable colorectal liver metastases(CRLM).However,the procedure has been reported to be associated with high morbidity and mortality.Laparoscopic ALPPS has recently been reported as a minimally invasive technique that reduces perioperative risks.AIM To assess the safety and feasibility of full laparoscopic ALPPS in patients with CRLM.METHODS A retrospective analysis was conducted on all consecutive patients with CRLM who underwent full laparoscopic ALPPS at the Sixth Affiliated Hospital of Sun Yat-sen University between March 2021 and July 2024.RESULTS Fifteen patients were included,13 with synchronous liver metastases.Nine patients had more than five liver tumors,with the highest count being 22.The median diameter of the largest lesion was 2.8 cm on preoperative imaging.No extrahepatic metastases were observed.RAS mutations were detected in nine patients,and 14 underwent preoperative chemotherapy.The median increase in future liver remnant volume during the interstage interval was 47.0%.All patients underwent R0 resection.Overall complication rates were 13.3%(stage 1)and 53.3%(stage 2),while major complication rates(Clavien-Dindo≥IIIa)were 13.3%(stage 1)and 33.3%(stage 2).No mortality occurred in either stage.The median hospital stay after stage 2 was 10 days.CONCLUSION Full laparoscopic ALPPS for CRLM is safe and feasible,with the potential for reduced morbidity and mortality,offering radical resection opportunities for patients with initially unresectable CRLM.展开更多
Achieving efficient adsorption and separation of C_(2)H_(2)/CO_(2)mixtures is a goal that people have always pursued to improve the situation of high energy consumption brought by traditional separation technologies i...Achieving efficient adsorption and separation of C_(2)H_(2)/CO_(2)mixtures is a goal that people have always pursued to improve the situation of high energy consumption brought by traditional separation technologies in industry today.High-nuclearity metal cluster-based MOFs with different functionalities are promising for this separation,but it is a complicated and difficult task to precisely control their structures.The strategy of pore-space partition(PSP)is a powerful way to construct this type MOFs,which has the characteristic of isostructural relationship,and can be resulted in a similar performance for them.Therefore,it is an interesting work to explore the effect of MOFs property by adjusting the size of PSP dividers.Herein,three tetranuclear Cu(Ⅱ)cluster-based MOFs(FJU-112/113/114)with dual functionalities has been successfully obtained by PSP strategy with various lengths of divider units.With the highest microporosity and unique functional site,FJU-114 realized a good improvement in the adsorption and separation performance of C_(2)H_(2)/CO_(2).The gas adsorption and lab-scale C_(2)H_(2)/CO_(2)breakthrough experiments demonstrated that FJU-114 exhibits the highest adsorption uptake of 77 cm^(3)/g for C_(2)H_(2),and shows the best separation factor of 4.2 among three MOFs.The GCMC simulation reveals that a stronger adsorption binding site of C_(2)H_(2)in FJU-114a located in the cage II near the unchanged tetranuclear copper node,combined with its high microporosity to achieve the effect of dual functionalities for the improvement performance of C_(2)H_(2)adsorption and separation.展开更多
A new purification process was developed to remove impurities in metallurgical grade silicon （MG-Si） by electromagnetic induction slag melting （EISM）. Vacuum melting furnace was used to purify boron in different s...A new purification process was developed to remove impurities in metallurgical grade silicon （MG-Si） by electromagnetic induction slag melting （EISM）. Vacuum melting furnace was used to purify boron in different slag systems. The results show that the removal effect in SiO2-CaO-Al2O3 systems is better than that in other slag systems by EISM. The boron content in MG-Si is successfully reduced from 1.5× 10^-5 to 0.2× 10^-5 during EISM at 1 823 K for 2 h. Meanwhile, Al, Ca and Mg elements in MG-Si are also well removed and their removal efficiencies reach 85.0%, 50.2% and 66.7%, respectively, which indicates that EISM is very effective to remove boron and metal impurities in silicon.展开更多
The removal of boron from metallurgical silicon in slag system of CaO-SiO2-10%CaF2 was investigated. The partition coefficient of boron （LB） between slag and silicon phase was studied under different conditions of s...The removal of boron from metallurgical silicon in slag system of CaO-SiO2-10%CaF2 was investigated. The partition coefficient of boron （LB） between slag and silicon phase was studied under different conditions of slag basicity （CaO/SiO2 ratio）, temperature, mass ratio of slag to silicon and gas blowing. The results show that LB has a maximum value of 4.61 when the CaO/SiO2 mass ratio is around 2 at l 873 K. The logarithm of LB is linear to the reciprocal of temperatures in the range of 1 773-1 973 K. LB increases with the increase of mass ratio of slag to silicon, but it does not increase markedly when the ratio excesses 3. Gas blowing can sionificantlv increase the removal of boron, and LR increases with the increase of water vapor content.展开更多
Taking AuCu3-type sublattice system as an example, three discoveries have been presented: First, the third barrier hindering the progress in metal materials science is that researchers have got used to recognizing exp...Taking AuCu3-type sublattice system as an example, three discoveries have been presented: First, the third barrier hindering the progress in metal materials science is that researchers have got used to recognizing experimental phenomena of alloy phase transitions during extremely slow variation in temperature by equilibrium thinking mode and then taking erroneous knowledge of experimental phenomena as selected information for establishing Gibbs energy function and so-called equilibrium phase diagram. Second, the equilibrium holographic network phase diagrams of AuCu3-type sublattice system may be used to describe systematic correlativity of the composition?temperature-dependent alloy gene arranging structures and complete thermodynamic properties, and to be a standard for studying experimental subequilibrium order-disorder transition. Third, the equilibrium transition of each alloy is a homogeneous single-phase rather than a heterogeneous two-phase, and there exists a single-phase boundary curve without two-phase region of the ordered and disordered phases; the composition and temperature of the top point on the phase-boundary curve are far away from the ones of the critical point of the AuCu3 compound.展开更多
Taking Au3Cu-type sublattice system as an example, three discoveries have been presented. First, the fourth barrier to hinder the progress of metal materials science is that today’s researchers do not understand that...Taking Au3Cu-type sublattice system as an example, three discoveries have been presented. First, the fourth barrier to hinder the progress of metal materials science is that today’s researchers do not understand that the Gibbs energy function of an alloy phase should be derived from Gibbs energy partition function constructed of alloy gene sequence and their Gibbs energy sequence. Second, the six rules for establishing alloy gene Gibbs energy partition function have been discovered, and it has been specially proved that the probabilities of structure units occupied at the Gibbs energy levels in the degeneracy factor for calculating configuration entropy should be degenerated as ones of component atoms occupied at the lattice points. Third, the main characteristics unexpected by today’s researchers are as follows. There exists a single-phase boundary curve without two-phase region coexisting by the ordered and disordered phases. The composition and temperature of the top point on the phase-boundary curve are far away from those of the critical point of the Au3Cu compound; At 0 K, the composition of the lowest point on the composition-dependent Gibbs energy curve is notably deviated from that of the Au3Cu compounds. The theoretical limit composition range of long range ordered Au3Cu-type alloys is determined by the first jumping order degree.展开更多
基金supported by the National Key R&D Program of China(Grant No.2022YFF0503203)National Natural Science Foundation of China(NSFC)projects(Grant Nos.42441826 and 42173041)+1 种基金the Key Research Program of the Institute of Geology and Geophysics,Chinese Academy of Sciences(Grant No.IGGCAS-202204)the computational facilities of the Computer Simulation Laboratory at IGGCAS and the Beijing Super Cloud Computing Center(BSCC).
文摘Hydrogen partitioning between liquid iron alloys and silicate melts governs its distribution and cycling in Earth’s deep interior.Existing models based on simplified Fe-H systems predict strong hydrogen sequestration into the core.However,these models do not account for the modulating effects of major light elements such as oxygen and silicon in the core during Earth’s primordial differentiation.In this study,we use first-principles molecular dynamics simulations,augmented by machine learning techniques,to quantify hydrogen chemical potentials in quaternary Fe-O-Si-H systems under early core-mantle boundary conditions(135 GPa,5000 K).Our results demonstrate that the presence of 5.2 wt%oxygen and 4.8 wt%silicon reduces the siderophile affinity of hydrogen by 35%,decreasing its alloy-silicate partition coefficient from 18.2(in the case of Fe-H)to 11.8(in the case of Fe-O-Si-H).These findings suggest that previous estimates of the core hydrogen content derived from binary system models require downward revision.Our study underscores the critical role of multicomponent interactions in core formation models and provides first-principles-derived constraints to reconcile Earth’s present-day hydrogen reservoirs with its accretionary history.
文摘To obtain materials capable of efficiently separating acetylene(C_(2)H_(2))from carbon dioxide(CO_(2))and eth-ylene(C_(2)H_(4)),In this work,based on the pore space partition strategy,a pacs-metal-organic framework(MOF):(NH_(2)Me_(2))_(2)[Fe_(3)(μ_(3)-O)(bdc)_(3)][In(FA)_(3)Cl_(3)](Fe‑FAIn‑bdc)was synthesized successfully by using the metal-formate com-plex[In(FA)_(3)Cl_(3)]^(3-)as the pore partition units,where bdc^(2-)=terephthalate,FA-=formate.Owing to the pore partition effect of this metal-organic building block,fruitful confined spaces are formed in the network of Fe‑FAIn‑bdc,endowing this MOF with superior separation performance of acetylene and carbon dioxide.According to the adsorp-tion test,this MOF exhibited a high adsorption capacity for C_(2)H_(2)(50.79 cm^(3)·g^(-1))at 298 K and 100 kPa,which was much higher than that for CO_(2)(29.99 cm^(3)·g^(-1))and C_(2)H_(4)(30.94 cm^(3)·g^(-1))under the same conditions.Ideal adsorbed solution theory(IAST)calculations demonstrate that the adsorption selectivity of Fe‑FAIn‑bdc for the mixture of C_(2)H_(2)/CO_(2)and C_(2)H_(2)/C_(2)H_(4)in a volume ratio of 50∶50 was 3.08 and 3.65,respectively,which was higher than some reported MOFs such as NUM-11 and SNNU-18.CCDC:_(2)453954.
基金supported by the National Natural Science Foundation of China(12371327)the Natural Science Foundation of Chongqing(cstc2021jcyj-msxmX0107).
文摘In this paper,we examine the functions a(n)and b(n),which respectively represent the number of cubic partitions and cubic partition pairs.Our work leads to the derivation of asymptotic formulas for both a(n)and b(n).Additionally,we establish the upper and lower bounds of these functions,factoring in the explicit error terms involved.Crucially,our findings reveal that a(n)and b(n)both satisfy several inequalities such as log-concavity,third-order Turan inequalities,and strict log-subadditivity.
基金supported by the National Natural Science Foundation of China(Nos.51831007,52371007)the Shenzhen Science and Technology Program,China(No.SGDX20210823104002016)the Guangdong Basic and Applied Basic Research Foundation,China(No.2021B1515120071).
文摘The Co-Ni-Ti-V quaternary phase diagrams within the Co-Ni-rich region were investigated using the electron probe X-ray micro-analyzer(EPMA)and X-ray diffraction(XRD).Three isothermal sections corresponding to the Co-10Ni-Ti-V,Co-15Ni-Ti-V,and Co-20Ni-Ti-V quaternary systems at 1000°C were experimentally established.The results indicate that increasing Ni content markedly broadens theγ(α-Co)andγ′(Co3Ti)two-phase regions.Based on the Co-Ni-Ti-V phase diagram,alloys with highγ′solvus temperature were designed,and their comprehensive properties,includingγ′coarsening behavior and mechanical properties,were thoroughly investigated.Compared to Co-Ti-based superalloys,the Co-20Ni-10Ti-10V alloy exhibits lower coarsening rates ofγ′precipitates andγ/γ′lattice mismatch.Notably,it possesses exceptional high-temperature mechanical properties,with a yield strength of 508 MPa at 1000°C.This superior performance is primarily attributed to the presence of a high density of stacking fault shear.
基金supported by the Science and Technology Project of China South Power Grid Co.,Ltd.under Grant No.036000KK52222044(GDKJXM20222430).
文摘This paper addresses the complexity of wake control in large-scale wind farms by proposing a partitioning control algorithm utilizing the FLORIDyn(FLOW Redirection and Induction Dynamics)dynamic wake model.First,the impact of wakes on turbine effective wind speed is analyzed,leading to a quantitative method for assessing wake interactions.Based on these interactions,a partitioning method divides the wind farm into smaller,computationally manageable zones.Subsequently,a heuristic control algorithm is developed for yaw optimization within each partition,reducing the overall computational burden associated with multi-turbine optimization.The algorithm’s effectiveness is evaluated through case studies on 11-turbine and 28-turbine wind farms,demonstrating power generation increases of 9.78%and 1.78%,respectively,compared to baseline operation.The primary innovation lies in coupling the higher-fidelity dynamic FLORIDyn wake model with a graph-based partitioning strategy and a computationally efficient heuristic optimization,enabling scalable and accurate yaw control for large wind farms,overcoming limitations associated with simplified models or centralized optimization approaches.
基金support of the National Natural Science Foundation of China(No.51675406)the Basic Research Project Group,China(No.514010106-205)。
文摘The implicit partition algorithm used to solve fluid–structure coupling problems has high accuracy,but it requires a long computation time.In this paper,a semi-implicit fluid–structure coupling algorithm based on modal force prediction-correction is proposed to improve the computational efficiency.In the pre-processing stage,the fluid domain is assumed to be a pseudo-elastic solid and merged with the solid domain to form a holistic system,and the normalized modal information of the holistic system is calculated and stored.During the sub-step cycle,the modal superposition method is used to obtain the response of the holistic system with the predicted modal force as the load,so that the deformation of the structure and the updating of the fluid mesh can be achieved simultaneously.After solving the Reynolds-averaged Navier-Stokes equations in the fluid domain,the predicted modal force is corrected and a new sub-step cycle is started until the converged result is obtained.In this method,the computation of the fluid equations and the updating of the dynamic mesh are done implicitly,while the deformation of the structure is done explicitly.Two numerical cases,vortex induced oscillation of an elastic beam and fluid–structure interaction of a final stage blade,are used to verify the efficiency and accuracy of the proposed algorithm.The results show that the proposed method achieves the same accuracy as the implicit method while the computational time is reduced.In the case of the vortex-induced oscillation problem,the computational time can be reduced to 18.6%.In the case of the final stage blade vibration,the computational time can be reduced to 53.8%.
基金financially supported by the National Natural Science Foundation of China(No.51675092)the Natural Science Foundation of Hebei Province,China(Nos.E2022501001,E2022501006).
文摘The effect of high pressure on the microstructure and microsegregation of Mg-11Al(mass fraction,%)alloys was studied through experiments and first-principles calculations.The results show that the Al content in the initial solid phase is high owing to the high solute partition coefficient and the large undercooling in the alloys solidified under pressures of 4-6 GPa,and the Al content in the initial solid phase increases with the increase of pressure.Consequently,the total amount of excess solute in the liquid phase in the final solidification stage decreases with increasing pressure,thus decreasing or suppressing the eutectic transformation.Furthermore,the microstructure of the alloys solidified under pressures of 5-6 GPa is a fine-grained solid solution,consisting of grains with high solubility of Al atoms and grain boundaries with abundant Al solutes.As the pressure increases,the grain boundary doping energy of Al atoms decreases,while their grain boundary segregation energy of Al atoms increases,and the charge density between the Mg-Al(Mg)bonds also rises.Therefore,the stability of the microstructure is improved,and the bond strength of grain boundaries is enhanced.
文摘This article examines the evolution of India’s border laws from colonial to post-colonial periods,analyzing the continuities and transformations in legal frameworks governing territorial boundaries.Through historical-legal analysis of key legislation,policies,and judicial interpretations,the research demonstrates how colonial border regulations-primarily designed for imperial control-have been selectively preserved,modified,or replaced to serve post-independence imperatives.Findings reveal that 62%of colonial border management mechanisms persisted verbatim in post-colonial legislation,while regional variations created overlapping“legal border zones”with differential adaptation rates.The study identifies a significant shift from administrative boundaries toward securitized frontiers,with a 217%increase in religious and ethnic identifiers in post-1947 border legislation.This legal evolution reflects broader tensions between decolonization aspirations and inherited governance structures,creating what Cons(2016)terms“sensitive spaces”where exceptional legal regimes continue to operate.The research contributes to understanding how post-colonial states navigate the paradox of maintaining sovereignty through legal instruments originally designed for imperial control,with implications for borderland populations who experience persistent“legal liminality”despite constitutional protections.
基金supported by the National Key R&D Program of China(Nos.2023YFE0101500,2023YFA1606403)the National Natural Science Foundation of China(Nos.12475118,12335007)the State Key Laboratory of Nuclear Physics and Technology,Peking University(No.NPT2023ZX01)。
文摘We studied the energy partition between two well-separated fission fragments associated with the partition of nucleons owing to quantum entanglement.This is different from most fission models that invoke an explicit statistical partition of excitation energies.The dynamical fission evolution is described within the time-dependent Hartree-Fock+BCS framework.Excitation energies of isotopic fission fragments were obtained using the particle number projection method after the dynamical splitting of^(238)U.The resulting excitation energies of the light and heavy fragments are consistent with the appearance of sawtooth structures.We found that the pairing correlation strengths have a significant influence on the partition of the excitation energies.Furthermore,the excitation energies of isotopic fragments increase with increasing neutron number,implying the suppression of the production of neutron-rich beams in rare-isotope beam facilities.
基金supported by the Science and Technology Project of State Grid Corporation of China under grant 52094021N010(5400-202199534A-0-5-ZN)。
文摘Low-carbon smart parks achieve selfbalanced carbon emission and absorption through the cooperative scheduling of direct current(DC)-based distributed photovoltaic,energy storage units,and loads.Direct current power line communication(DC-PLC)enables real-time data transmission on DC power lines.With traffic adaptation,DC-PLC can be integrated with other complementary media such as 5G to reduce transmission delay and improve reliability.However,traffic adaptation for DC-PLC and 5G integration still faces the challenges such as coupling between traffic admission control and traffic partition,dimensionality curse,and the ignorance of extreme event occurrence.To address these challenges,we propose a deep reinforcement learning(DRL)-based delay sensitive and reliable traffic adaptation algorithm(DSRTA)to minimize the total queuing delay under the constraints of traffic admission control,queuing delay,and extreme events occurrence probability.DSRTA jointly optimizes traffic admission control and traffic partition,and enables learning-based intelligent traffic adaptation.The long-term constraints are incorporated into both state and bound of drift-pluspenalty to achieve delay awareness and enforce reliability guarantee.Simulation results show that DSRTA has lower queuing delay and more reliable quality of service(QoS)guarantee than other state-of-the-art algorithms.
基金supported by the National Natural Science Foundation of China(6203100762371093).
文摘The multifunctional integration system(MFIS)is based on a common hardware platform that controls and regulates the system’s configurable parameters through software to meet dif-ferent operational requirements.Dwell scheduling is a key for the system to realize multifunction and maximize the resource uti-lization.In this paper,an adaptive dwell scheduling optimization model for MFIS which considers the aperture partition and joint radar communication(JRC)waveform is established.To solve the formulated optimization problem,JRC scheduling condi-tions are proposed,including time overlapping condition,beam direction condition and aperture condition.Meanwhile,an effec-tive mechanism to dynamically occupy and release the aperture resource is introduced,where the time-pointer will slide to the earliest ending time of all currently scheduled tasks so that the occupied aperture resource can be released timely.Based on them,an adaptive dwell scheduling algorithm for MFIS with aperture partition and JRC waveform is put forward.Simulation results demonstrate that the proposed algorithm has better com-prehensive scheduling performance than up-to-date algorithms in all considered metrics.
基金supported by National Natural Science Foundation of China(Grant Nos.42107214 and 52130905)the Natural Science Foundation of Chongqing(No.CSTB2024NSCQMSX0740)the Henan Province Science and Technology Research Projects(No.252102220050).
文摘The vibration analysis of Kirchhoff plates requires robust mass lumping schemes to guarantee numerical stability and accuracy.However,existing methods fail to generate symmetric and positive definite mass matrices when handling rotational degrees of freedom,leading to compromised performance in both time and frequency domains analyses.This study proposes a manifold-based mass lumping scheme that systematically resolves the inertia matrix formulas for rotational/torsional degrees of freedom.By reinterpreting the finite element mesh as a mathematical cover composed of overlapping patches,Hermitian interpolations for plate deflection are derived using partition of unity principles.The manifold-based mass matrix is constructed by integrating the virtual work of inertia forces over these patches,ensuring symmetry and positive definiteness.Numerical benchmarks demonstrate that the manifold-based mass lumping scheme performance can be comparable or better than the consistent mass scheme and other existing mass lumping schemes.This work establishes a unified theory for mass lumping in fourth order plate dynamics,proving that the widely used row-sum method is a special case of the manifold-based framework.The scheme resolves long-standing limitations in rotational/torsional inertia conservation and provides a foundation for extending rigorous mass lumping to 3D shell and nonlinear dynamic analyses.
基金Supported by Natural Science Foundation of Guangdong Province of China,No.2024A1515012862.
文摘BACKGROUND Associating liver partition and portal vein ligation for staged hepatectomy(ALPPS)is a procedure used for patients with initially unresectable colorectal liver metastases(CRLM).However,the procedure has been reported to be associated with high morbidity and mortality.Laparoscopic ALPPS has recently been reported as a minimally invasive technique that reduces perioperative risks.AIM To assess the safety and feasibility of full laparoscopic ALPPS in patients with CRLM.METHODS A retrospective analysis was conducted on all consecutive patients with CRLM who underwent full laparoscopic ALPPS at the Sixth Affiliated Hospital of Sun Yat-sen University between March 2021 and July 2024.RESULTS Fifteen patients were included,13 with synchronous liver metastases.Nine patients had more than five liver tumors,with the highest count being 22.The median diameter of the largest lesion was 2.8 cm on preoperative imaging.No extrahepatic metastases were observed.RAS mutations were detected in nine patients,and 14 underwent preoperative chemotherapy.The median increase in future liver remnant volume during the interstage interval was 47.0%.All patients underwent R0 resection.Overall complication rates were 13.3%(stage 1)and 53.3%(stage 2),while major complication rates(Clavien-Dindo≥IIIa)were 13.3%(stage 1)and 33.3%(stage 2).No mortality occurred in either stage.The median hospital stay after stage 2 was 10 days.CONCLUSION Full laparoscopic ALPPS for CRLM is safe and feasible,with the potential for reduced morbidity and mortality,offering radical resection opportunities for patients with initially unresectable CRLM.
基金financially supported by the National Natural Science Foundation of China(Nos.21975044,21971038,21922810 and 22271046)the Fujian Provincial Department of Science and Technology(Nos.2023J01355,2023J011106 and 2022R1022001).
文摘Achieving efficient adsorption and separation of C_(2)H_(2)/CO_(2)mixtures is a goal that people have always pursued to improve the situation of high energy consumption brought by traditional separation technologies in industry today.High-nuclearity metal cluster-based MOFs with different functionalities are promising for this separation,but it is a complicated and difficult task to precisely control their structures.The strategy of pore-space partition(PSP)is a powerful way to construct this type MOFs,which has the characteristic of isostructural relationship,and can be resulted in a similar performance for them.Therefore,it is an interesting work to explore the effect of MOFs property by adjusting the size of PSP dividers.Herein,three tetranuclear Cu(Ⅱ)cluster-based MOFs(FJU-112/113/114)with dual functionalities has been successfully obtained by PSP strategy with various lengths of divider units.With the highest microporosity and unique functional site,FJU-114 realized a good improvement in the adsorption and separation performance of C_(2)H_(2)/CO_(2).The gas adsorption and lab-scale C_(2)H_(2)/CO_(2)breakthrough experiments demonstrated that FJU-114 exhibits the highest adsorption uptake of 77 cm^(3)/g for C_(2)H_(2),and shows the best separation factor of 4.2 among three MOFs.The GCMC simulation reveals that a stronger adsorption binding site of C_(2)H_(2)in FJU-114a located in the cage II near the unchanged tetranuclear copper node,combined with its high microporosity to achieve the effect of dual functionalities for the improvement performance of C_(2)H_(2)adsorption and separation.
基金Project (50674018) supported by the National Natural Science Foundation of China
文摘A new purification process was developed to remove impurities in metallurgical grade silicon （MG-Si） by electromagnetic induction slag melting （EISM）. Vacuum melting furnace was used to purify boron in different slag systems. The results show that the removal effect in SiO2-CaO-Al2O3 systems is better than that in other slag systems by EISM. The boron content in MG-Si is successfully reduced from 1.5× 10^-5 to 0.2× 10^-5 during EISM at 1 823 K for 2 h. Meanwhile, Al, Ca and Mg elements in MG-Si are also well removed and their removal efficiencies reach 85.0%, 50.2% and 66.7%, respectively, which indicates that EISM is very effective to remove boron and metal impurities in silicon.
基金Project(2007J0012)supported by the Natural Science Foundation of Fujian Province,ChinaProject(2007HZ0005-2)supported by the Key Technological Program of Fujian Province,China
文摘The removal of boron from metallurgical silicon in slag system of CaO-SiO2-10%CaF2 was investigated. The partition coefficient of boron （LB） between slag and silicon phase was studied under different conditions of slag basicity （CaO/SiO2 ratio）, temperature, mass ratio of slag to silicon and gas blowing. The results show that LB has a maximum value of 4.61 when the CaO/SiO2 mass ratio is around 2 at l 873 K. The logarithm of LB is linear to the reciprocal of temperatures in the range of 1 773-1 973 K. LB increases with the increase of mass ratio of slag to silicon, but it does not increase markedly when the ratio excesses 3. Gas blowing can sionificantlv increase the removal of boron, and LR increases with the increase of water vapor content.
基金Project(51071181)supported by the National Natural Science Foundation of ChinaProject(2013FJ4043)supported by the Natural Science Foundation of Hunan Province,China
文摘Taking AuCu3-type sublattice system as an example, three discoveries have been presented: First, the third barrier hindering the progress in metal materials science is that researchers have got used to recognizing experimental phenomena of alloy phase transitions during extremely slow variation in temperature by equilibrium thinking mode and then taking erroneous knowledge of experimental phenomena as selected information for establishing Gibbs energy function and so-called equilibrium phase diagram. Second, the equilibrium holographic network phase diagrams of AuCu3-type sublattice system may be used to describe systematic correlativity of the composition?temperature-dependent alloy gene arranging structures and complete thermodynamic properties, and to be a standard for studying experimental subequilibrium order-disorder transition. Third, the equilibrium transition of each alloy is a homogeneous single-phase rather than a heterogeneous two-phase, and there exists a single-phase boundary curve without two-phase region of the ordered and disordered phases; the composition and temperature of the top point on the phase-boundary curve are far away from the ones of the critical point of the AuCu3 compound.
基金Project(51071181)supported by the National Natural Science Foundation of ChinaProject(2013FJ4043)supported by the Natural Science Foundation of Hunan Province,China
文摘Taking Au3Cu-type sublattice system as an example, three discoveries have been presented. First, the fourth barrier to hinder the progress of metal materials science is that today’s researchers do not understand that the Gibbs energy function of an alloy phase should be derived from Gibbs energy partition function constructed of alloy gene sequence and their Gibbs energy sequence. Second, the six rules for establishing alloy gene Gibbs energy partition function have been discovered, and it has been specially proved that the probabilities of structure units occupied at the Gibbs energy levels in the degeneracy factor for calculating configuration entropy should be degenerated as ones of component atoms occupied at the lattice points. Third, the main characteristics unexpected by today’s researchers are as follows. There exists a single-phase boundary curve without two-phase region coexisting by the ordered and disordered phases. The composition and temperature of the top point on the phase-boundary curve are far away from those of the critical point of the Au3Cu compound; At 0 K, the composition of the lowest point on the composition-dependent Gibbs energy curve is notably deviated from that of the Au3Cu compounds. The theoretical limit composition range of long range ordered Au3Cu-type alloys is determined by the first jumping order degree.
