MOTION OF A DRIVEN TRACER PARTICLE IN A ONE-DIMENSIONAL SYMMETRICAL LATTICE-GAS

Citation
Sf. Burlatsky et al., MOTION OF A DRIVEN TRACER PARTICLE IN A ONE-DIMENSIONAL SYMMETRICAL LATTICE-GAS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 3165-3172
Citations number
39
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
54
Issue
4
Year of publication
1996
Part
A
Pages
3165 - 3172
Database
ISI
SICI code
1063-651X(1996)54:4<3165:MOADTP>2.0.ZU;2-8
Abstract
Consider the dynamics of a tracer particle subject to a constant drivi ng force E in a one-dimensional lattice gas of hard-core particles who se 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 (g host) 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 pa rticles. In limiting cases the prefactor is obtained explicitly. Analy tical predictions are seen to be in good agreement with the results of numerical simulations.