Mean-field approach for diffusion of interacting particles

被引：11

作者：

Suarez, G. ^{[1
]}

Hoyuelos, M.

Martin, H.

机构：

[1] Univ Nacl Mar del Plata, Fac Ciencias Exactas & Nat, CONICET, Inst Invest Fis Mar del Plata, RA-7600 Mar Del Plata, Buenos Aires, Argentina

来源：

PHYSICAL REVIEW E | 2015年 / 92卷 / 06期

关键词：

SELF-DIFFUSION; FREE-ENERGY; THERMODYNAMICS; EQUATION;

D O I：

10.1103/PhysRevE.92.062118

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A nonlinear Fokker-Planck equation is obtained in the continuous limit of a one-dimensional lattice with an energy landscape of wells and barriers. Interaction is possible among particles in the same energy well. A parameter., related to the barrier's heights, is introduced. Its value is determinant for the functional dependence of the mobility and diffusion coefficient on particle concentration, but has no influence on the equilibrium solution. A relation between the mean-field potential and the microscopic interaction energy is derived. The results are illustrated with classical particles with interactions that reproduce fermion and boson statistics.

引用

页数：9

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