The depletion interactions between two large-spheres immersed in a fluid of small spheres under unsymmetrical geometrical confinement are studied through the acceptance ratio method. The numerical results show that no...The depletion interactions between two large-spheres immersed in a fluid of small spheres under unsymmetrical geometrical confinement are studied through the acceptance ratio method. The numerical results show that no matter whether the volume fraction is large or small, both the depletion potential and depletion force are affected by the presence of the two plates; the closer the two large spheres are to the plate, the larger the effects of the unsymmetrical confinements.展开更多
Acceptance ratio method, which has been used to calculate the depletion potential in binary hard-sphere mixtures, is extended to the computation of the depletion potential of non-rigid particle systems. The repulsive ...Acceptance ratio method, which has been used to calculate the depletion potential in binary hard-sphere mixtures, is extended to the computation of the depletion potential of non-rigid particle systems. The repulsive part of the Lennard-Jones pair potential is used as the direct pair potential between the non-rigid particles. The depletion potential between two big spheres immersed in a suspension of small spheres is determined with the acceptance ratio method through the application of Monte Carlo simulation. In order to check the validity of this method, our results are compared with those obtained by the Asakura-Oosawa approximation, and by Varial expansion approach, and by molecular dynamics simulation. The total effective potential and the depth of its potential well are computed for various softness parameters of the direct pair potential.展开更多
In this paper we present a method to generate independent samples for a general random variable,either continuous or discrete.The algorithm is an extension of the Acceptance-Rejectionmethod,and it is particularly usef...In this paper we present a method to generate independent samples for a general random variable,either continuous or discrete.The algorithm is an extension of the Acceptance-Rejectionmethod,and it is particularly useful for kinetic simulation in which the rates are fluctuating in time and have singular limits,as occurs for exam-ple in simulation of recombination interactions in a plasma.Although it depends on some additional requirements,the new method is easy to implement and rejects less samples than the Acceptance-Rejection method.展开更多
基金Project supported by the National Natural Science Foundation of China （Grant No 10375024） and the Science Foundation of Hunan Educational Committee, China
文摘The depletion interactions between two large-spheres immersed in a fluid of small spheres under unsymmetrical geometrical confinement are studied through the acceptance ratio method. The numerical results show that no matter whether the volume fraction is large or small, both the depletion potential and depletion force are affected by the presence of the two plates; the closer the two large spheres are to the plate, the larger the effects of the unsymmetrical confinements.
基金Project supported by the National Natural Science Foundation of China (Grant No. 20974026)the Shanghai Pujiang Program of China (Grant No. 08PJ1402000)the Shanghai Educational Development Foundation of China (Grant No. 2008CG02)
文摘Acceptance ratio method, which has been used to calculate the depletion potential in binary hard-sphere mixtures, is extended to the computation of the depletion potential of non-rigid particle systems. The repulsive part of the Lennard-Jones pair potential is used as the direct pair potential between the non-rigid particles. The depletion potential between two big spheres immersed in a suspension of small spheres is determined with the acceptance ratio method through the application of Monte Carlo simulation. In order to check the validity of this method, our results are compared with those obtained by the Asakura-Oosawa approximation, and by Varial expansion approach, and by molecular dynamics simulation. The total effective potential and the depth of its potential well are computed for various softness parameters of the direct pair potential.
文摘In this paper we present a method to generate independent samples for a general random variable,either continuous or discrete.The algorithm is an extension of the Acceptance-Rejectionmethod,and it is particularly useful for kinetic simulation in which the rates are fluctuating in time and have singular limits,as occurs for exam-ple in simulation of recombination interactions in a plasma.Although it depends on some additional requirements,the new method is easy to implement and rejects less samples than the Acceptance-Rejection method.
