Asymmetric simple exclusion process with periodic boundary driving

Abstract

We consider the asymmetric simple exclusion process (ASEP) on a semi-infinite chain which is coupled at the end to a reservoir with a particle density that changes periodically in time. It is shown that the density profile assumes a time-periodic sawtooth-like shape. This shape does not depend on initial conditions and is found analytically in the hydrodynamic limit. In a finite system, the stationary state is shown to be governed by effective boundary densities and the extremal flux principle. Effective boundary densities are determined numerically via Monte Carlo simulations and compared with those given by mean field approach and numerical integration of the hydrodynamic limit equation which is the Burgers equation. Our results extend straightforwardly beyond the ASEP to a wide class of driven diffusive systems with one conserved particle species.

11 pages, 11 figs

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• Velocity control for improving flow through a bottleneck
• Externally driven one-dimensional Ising model
• Behaviour of traffic on a link with traffic light boundaries
• Bimodal response in periodically driven diffusive systems