Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities

Details Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities

2004-01-23

arxiv.org/abs/cond-mat/0401461v1

Journal of Statistical Physics 117: 55-76 (2004)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 4 figures

Scientific paper

10.1023/B:JOSS.0000044064.62295.

We study driven 1d lattice gas models with two types of particles and nearest neighbor hopping. We find the most general case when there is a shock solution with a product measure which has a density-profile of a step function for both densities. The position of the shock performs a biased random walk. We calculate the microscopic hopping rates of the shock. We also construct the hydrodynamic limit of the model and solve the resulting hyperbolic system of conservation laws. In case of open boundaries the selected steady state is given in terms of the boundary densities.

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