Localization of shocks in driven diffusive systems without particle number conservation

Details Localization of shocks in driven diffusive systems without particle number conservation Localization of shocks in driven diffusive systems without particle number conservation

2003-02-11

arxiv.org/abs/cond-mat/0302208v2

Phys. Rev. E 67, 066117 (2003)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures revtex, references added, misprints corrected

Scientific paper

10.1103/PhysRevE.67.066117

We study the formation of localized shocks in one-dimensional driven diffusive systems with spacially homogeneous creation and annihilation of particles (Langmuir kinetics).We show how to obtain hydrodynamic equations which describe the density profile in systems with uncorrelated steady state as well as in those exhibiting correlations. As a special example of the latter case the Katz-Lebowitz-Spohn model is considered. The existence of a localized double density shock is demonstrated for the first time in one-dimensional driven diffusive systems. This corresponds to phase separation into regimes of three distinct densities, separated by localized domain walls. Our analytical approach is supported by Monte-Carlo simulations.

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