Influence of a Uniform Driving Force on Tracer Diffusion in a One-Dimensional Hard-Core Lattice Gas
نویسنده
چکیده
The influence of a uniform driving force on tracer diffusion is investigated for a one-dimensional lattice gas where particles jump stochastically to unoccupied neighboring sites. A new, simple calculation is presented for the diffusion coefficient of a tracer particle with respect to its average drift, obtained recently by rigorous methods by De Masi and Ferrari. A theoretical expression describing the tracer particle mean square displacement approximately for all times is derived and found to be in excellent agreement with the results of Monte Carlo simulations.
منابع مشابه
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 f...
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