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

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dc.creatorRákos, A.
dc.creatorSchütz, G. M.
dc.date2004-01-23
dc.date.accessioned2026-07-07T06:30:25Z
dc.date.available2026-07-07T06:30:25Z
dc.descriptionWe 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.
dc.description12 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0401461
dc.identifierhttp://arxiv.org/abs/cond-mat/0401461
dc.identifierJournal of Statistical Physics 117: 55-76 (2004)
dc.identifierdoi:10.1023/B:JOSS.0000044064.62295.29
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98334
dc.subjectStatistical Mechanics
dc.titleExact shock measures and steady-state selection in a driven diffusive system with two conserved densities
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