Phase transition in a non-conserving driven diffusive system
Statistical Mechanics
2009-11-07 v1
Abstract
An asymmetric exclusion process comprising positive particles, negative particles and vacancies is introduced. The model is defined on a ring and the dynamics does not conserve the number of particles. We solve the steady state exactly and show that it can exhibit a continuous phase transition in which the density of vacancies decreases to zero. The model has no absorbing state and furnishes an example of a one-dimensional phase transition in a homogeneous non-conserving system which does not belong to the absorbing state universality classes.
Cite
@article{arxiv.cond-mat/0204522,
title = {Phase transition in a non-conserving driven diffusive system},
author = {M. R. Evans and Y. Kafri and E. Levine and D. Mukamel},
journal= {arXiv preprint arXiv:cond-mat/0204522},
year = {2009}
}