Shocks in the asymmetric exclusion process with internal degree of freedom
- 10 November 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 74 (5), 051108
- https://doi.org/10.1103/physreve.74.051108
Abstract
We determine all families of Markovian three-state 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.Keywords
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