Shocks in the asymmetric exclusion process with internal degree of freedom

Abstract

We determine all families of Markovian three-states lattice gases with pair interaction and a single local conservation law. One such family of models is an asymmetric exclusion process where particles exist in two different nonconserved states. We derive conditions on the transition rates between the two states such that the shock has a particularly simple structure with minimal intrinsic shock width and random walk dynamics. We calculate the drift velocity and diffusion coefficient of the shock.

26 pages, 1 figure

References in corpus (2)

• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities

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