Phase transitions in systems possessing Shock solutions
摘要
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.
引用
@article{arxiv.cond-mat/0511513,
title = {Phase transitions in systems possessing Shock solutions},
author = {Maryam Arabsalmani and Amir Aghamohammadi},
journal= {arXiv preprint arXiv:cond-mat/0511513},
year = {2007}
}
备注
21 pages, LaTeX2e, 1 figure, Phys. Rev. E to be appeared