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

Motion of a driven tracer particle in a one-dimensional symmetric lattice gas. Abstract 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) = √ αt, rather than the linear time dependence found for non-interacting (ghost) bath particles. The prefactor α 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 a good agreement with the results of numerical simulations.