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
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.