Motion of a driven tracer particle in a one-dimensional symmetric lattice gas

被引:66
作者
Burlatsky, SF [1 ]
Oshanin, G [1 ]
Moreau, M [1 ]
Reinhardt, WP [1 ]
机构
[1] UNIV PARIS 06,PHYS THEOR LIQUIDES LAB,F-75252 PARIS 05,FRANCE
来源
PHYSICAL REVIEW E | 1996年 / 54卷 / 04期
关键词
D O I
10.1103/PhysRevE.54.3165
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
Consider the dynamics of a tracer particle subject to a constant driving force E in a one-dimensional lattice gas of hard-core particles whose transition rates are symmetric. We show that the mean displacement of the driven tracer X(T)(E,t) grows in time t as X(T)(E,t)=root alpha t, rather than the linear time dependence found for noninteracting (ghost) bath,particles. The prefactor a is determined implicitly, as the solution of a transcendental equation, for an arbitrary magnitude of the driving force and an arbitrary concentration of the lattice-gas particles. In limiting cases the prefactor is obtained explicitly. Analytical predictions are seen to be in good agreement with the results of numerical simulations.
引用
收藏
页码:3165 / 3172
页数:8
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