Phase transitions in systems possessing Shock solutions

Details Phase transitions in systems possessing Shock solutions Phase transitions in systems possessing Shock solutions

2005-11-21

arxiv.org/abs/cond-mat/0511513v2

PHYSICAL REVIEW E 74 (2006) 011107

Physics

Condensed Matter

Statistical Mechanics

21 pages, LaTeX2e, 1 figure, Phys. Rev. E to be appeared

Scientific paper

10.1103/PhysRevE.74.011107

Recently it is shown that there are three families of stochastic one-dimensional non-equilibrium lattice models for which the single-shock measures form an invariant subspace of the states of these models. Here, both the stationary states and dynamics of single-shocks on a one-dimensional lattice are studied. This is done for both an infinite lattice and a finite lattice with boundaries. It is seen that these models possess both static and dynamical phase transitions. The static phase transition is the well known low-high density phase transition For the ASEP. The BCRW, and AKGP models also show the same phase transition. Double-shocks on a one-dimensional lattice are also investigated. It is shown that at the stationary state the contribution of double-shocks with higher width becomes small, and the main contribution comes from thin double-shocks.

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