The thermodynamic properties of the ε phase of solid oxygen are studied by using the analytic mean field approach （AMFP）. Analytic expressions for the Helmholtz free energy, internal energy and equation of state of...The thermodynamic properties of the ε phase of solid oxygen are studied by using the analytic mean field approach （AMFP）. Analytic expressions for the Helmholtz free energy, internal energy and equation of state of solid oxygen have been derived based on the multi-exponential potential. The formulism for the case of double-exponential （DE） model is applied to the ε phase of solid oxygen. Its four potential parameters are determined through fitting the experimental compression data of the ε phase of solid oxygen. Numerical results of the pressure dependence of the volume calculated by using the AMFP are in good agreement with the original experimental data. This suggests that the AMFP is a useful approach to study the thermodynamic properties of the ε phase of solid oxygen. Furthermore, we predict the variation of the volume, lattice parameters and intermolecular distances with pressure, and some thermodynamic quantities versus volume, at several higher temperatures.展开更多
Ground state properties for Mg isotopes, including binding energies, one- and two-neutron separation energies, pairing energies, nuclear matter radii and quadrupole deformation parameters, are obtained from the self- ...Ground state properties for Mg isotopes, including binding energies, one- and two-neutron separation energies, pairing energies, nuclear matter radii and quadrupole deformation parameters, are obtained from the self- consistent relativistic mean field （RMF） model with the pairing correlations treated by a shell-mode-like approach （SLAP）, in which the particle-number is conserved and the blocking effects are treated exactly. The experimental data, including the binding energies and the one- and two-neutron separation energies, which are sensitive to the treatment of pairing correlations and block effects, are well reproduced by the RMF＋SLAP calculations.展开更多
A fixed particle number BCS （FBCS） approach is formulated in the relativistic mean field （RMF） model. It is shown that the RMF＋FBCS model obtained can describe the weak pairing limit. We calculate the ground-stat...A fixed particle number BCS （FBCS） approach is formulated in the relativistic mean field （RMF） model. It is shown that the RMF＋FBCS model obtained can describe the weak pairing limit. We calculate the ground-state properties of the calcium isotopes ＆32-74Ca and compare the results with those obtained from the usual RMF＋BCS model. Although the results are quite similar to each other, we observe the interesting phenomenon that for ^54Ca, the FBCS approach can enhance the occupation probability of the 2p1/2 single particle level and slightly increases its radius, compared with the RMF＋BCS model. This leads to the unusual scenario that although ^54Ca is more bound with a spherical configuration, the corresponding size is not the most compact. We anticipate that such a phenomenon might happen for other neutron-rich nuclei and should be checked by further more systematic studies.展开更多
在相对论平均场(Relativistic Mean Field,RMF)理论框架下,利用类壳模型(Shell-model-Like APproach,SLAP)方法处理对关联,对Ni同位素的基态性质进行系统研究,并与相对论的Hartree-Bogoliubov理论以及实验数据进行比较.计算结果表明:RMF...在相对论平均场(Relativistic Mean Field,RMF)理论框架下,利用类壳模型(Shell-model-Like APproach,SLAP)方法处理对关联,对Ni同位素的基态性质进行系统研究,并与相对论的Hartree-Bogoliubov理论以及实验数据进行比较.计算结果表明:RMF-SLAP方法能够正确地给出原子核的结合能、单双中子分离能和对能,再现结合能的奇偶振荡现象,很好地描述了Ni同位素的基态性质.展开更多
We summarize the findings of a large number of studies concerning the totally asymmetric simple exclusion process （TASEP） with complex lattice geometries. The TASEP has been recognized as a paradigm in modeling and ...We summarize the findings of a large number of studies concerning the totally asymmetric simple exclusion process （TASEP） with complex lattice geometries. The TASEP has been recognized as a paradigm in modeling and analyzing non-equilibrium traffic systems. The paper surveys both the observed physical phenomena and several popular mean- field approaches used to analyze the extended TASEP models. Several interesting physical phenomena, such as phase separation, spontaneous symmetry breaking, and the finite-size effect, have been identified and explained. The future investigations of the extended TASEP with complex lattice geometries are also introduced. This paper may help to obtain a better understanding of non-equilibrium systems.展开更多
In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes （TASEPs） with a 2-input 1-output junction and parallel update. A mean-field approach is developed ...In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes （TASEPs） with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of a1 （a1 is the injection rate on the first sub-chain）. When a1 〉 1/3, there are seven stationary-state phases in the system, however when a1 〈 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.展开更多
The axially deformed relativistic mean field theory is applied to study the isotope shift of charge distributions of odd-Z Pr isotope chain. The nuclear structure associated with the shell and the isotope effect is in...The axially deformed relativistic mean field theory is applied to study the isotope shift of charge distributions of odd-Z Pr isotope chain. The nuclear structure associated with the shell and the isotope effect is investigated. The mechanism of the kink in the isotope shift at the neutron magic number N = 82 is revealed to be dependent on the neutron energy level structure at the Fermi energy, demonstrating that the spin-orbit coupling interaction and p-n attraction are well described by the relativistic mean field theory.展开更多
In this paper, traffic systems with attachment and detachment have been studied by total-asymmetric simple exclusion processes （TASEPs）. Attachment and detachment in a one-dimensional system is a type of complex geo...In this paper, traffic systems with attachment and detachment have been studied by total-asymmetric simple exclusion processes （TASEPs）. Attachment and detachment in a one-dimensional system is a type of complex geometry that is relevant to biological transport with the random update rule. The analytical results are presented and have shown good agreement with the extensive Monte Carlo computer simulations.展开更多
基金supported by the Joint Foundation of National Natural Science Foundation of China and China Academy of Engineering Physics (Grant No 10476007)the Program for New Century Excellent Talents in University (Grant No NCET-05-0799)the Program for Excellent Talents of University of Electronic Science and Technology (Grant No 23601008)
文摘The thermodynamic properties of the ε phase of solid oxygen are studied by using the analytic mean field approach （AMFP）. Analytic expressions for the Helmholtz free energy, internal energy and equation of state of solid oxygen have been derived based on the multi-exponential potential. The formulism for the case of double-exponential （DE） model is applied to the ε phase of solid oxygen. Its four potential parameters are determined through fitting the experimental compression data of the ε phase of solid oxygen. Numerical results of the pressure dependence of the volume calculated by using the AMFP are in good agreement with the original experimental data. This suggests that the AMFP is a useful approach to study the thermodynamic properties of the ε phase of solid oxygen. Furthermore, we predict the variation of the volume, lattice parameters and intermolecular distances with pressure, and some thermodynamic quantities versus volume, at several higher temperatures.
基金Supported by NSFC(11465001,11275098,11275248,11505058,11165001)Natural Science Foundation of Inner Mongolia of China(2016BS0102)
文摘Ground state properties for Mg isotopes, including binding energies, one- and two-neutron separation energies, pairing energies, nuclear matter radii and quadrupole deformation parameters, are obtained from the self- consistent relativistic mean field （RMF） model with the pairing correlations treated by a shell-mode-like approach （SLAP）, in which the particle-number is conserved and the blocking effects are treated exactly. The experimental data, including the binding energies and the one- and two-neutron separation energies, which are sensitive to the treatment of pairing correlations and block effects, are well reproduced by the RMF＋SLAP calculations.
基金Supported by the National Natural Science Foundation of China(11522539,11735003,11775014,11375022)
文摘A fixed particle number BCS （FBCS） approach is formulated in the relativistic mean field （RMF） model. It is shown that the RMF＋FBCS model obtained can describe the weak pairing limit. We calculate the ground-state properties of the calcium isotopes ＆32-74Ca and compare the results with those obtained from the usual RMF＋BCS model. Although the results are quite similar to each other, we observe the interesting phenomenon that for ^54Ca, the FBCS approach can enhance the occupation probability of the 2p1/2 single particle level and slightly increases its radius, compared with the RMF＋BCS model. This leads to the unusual scenario that although ^54Ca is more bound with a spherical configuration, the corresponding size is not the most compact. We anticipate that such a phenomenon might happen for other neutron-rich nuclei and should be checked by further more systematic studies.
文摘在相对论平均场(Relativistic Mean Field,RMF)理论框架下,利用类壳模型(Shell-model-Like APproach,SLAP)方法处理对关联,对Ni同位素的基态性质进行系统研究,并与相对论的Hartree-Bogoliubov理论以及实验数据进行比较.计算结果表明:RMF-SLAP方法能够正确地给出原子核的结合能、单双中子分离能和对能,再现结合能的奇偶振荡现象,很好地描述了Ni同位素的基态性质.
基金Project supported by the State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,China (Grant No. 2011Z006)the Chengdu University of Technology, China (Grant Nos. HY0084 and HG0092)
文摘We summarize the findings of a large number of studies concerning the totally asymmetric simple exclusion process （TASEP） with complex lattice geometries. The TASEP has been recognized as a paradigm in modeling and analyzing non-equilibrium traffic systems. The paper surveys both the observed physical phenomena and several popular mean- field approaches used to analyze the extended TASEP models. Several interesting physical phenomena, such as phase separation, spontaneous symmetry breaking, and the finite-size effect, have been identified and explained. The future investigations of the extended TASEP with complex lattice geometries are also introduced. This paper may help to obtain a better understanding of non-equilibrium systems.
基金Project supported by the National Scientific and Technological Support Project of China (Grant No. 2006BAE 03A 00)
文摘In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes （TASEPs） with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of a1 （a1 is the injection rate on the first sub-chain）. When a1 〉 1/3, there are seven stationary-state phases in the system, however when a1 〈 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.
基金Supported by the Major State Basic Research Development Programme of China under Grant No G2000077400, the National Natural Science Foundation of China under Grant Nos 10505016, 10575119, 10235020, 10235030, 10275094 and 10075080, the Knowledge Innovation Project of the Chinese Academy of Sciences under Grant No KJCX2-SW-NI7, the National Key Programme for Basic Research of the Ministry of Science and Technology under Grant Nos 2001CCB01200 and 2002CCB00200, and the Asia-Europe Link in Nuclear Physics and Astrophysics CN/ASIA-LINK/008 （094-791）.
文摘The axially deformed relativistic mean field theory is applied to study the isotope shift of charge distributions of odd-Z Pr isotope chain. The nuclear structure associated with the shell and the isotope effect is investigated. The mechanism of the kink in the isotope shift at the neutron magic number N = 82 is revealed to be dependent on the neutron energy level structure at the Fermi energy, demonstrating that the spin-orbit coupling interaction and p-n attraction are well described by the relativistic mean field theory.
基金supported by the National Natural Science Foundation of China-Yunnan Union Foundation (Grant No.U0937604)
文摘In this paper, traffic systems with attachment and detachment have been studied by total-asymmetric simple exclusion processes （TASEPs）. Attachment and detachment in a one-dimensional system is a type of complex geometry that is relevant to biological transport with the random update rule. The analytical results are presented and have shown good agreement with the extensive Monte Carlo computer simulations.
