Shocks in the asymmetric exclusion process with internal degree of freedom

Details Shocks in the asymmetric exclusion process with internal degree of freedom Shocks in the asymmetric exclusion process with internal degree of freedom

2006-08-07

arxiv.org/abs/cond-mat/0608147v2

Phys. Rev. E 74, 051108 (2006)

Physics

Condensed Matter

Statistical Mechanics

26 pages, 1 figure

Scientific paper

10.1103/PhysRevE.74.051108

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.

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