Relaxation time in a non-conserving driven-diffusive system with parallel dynamics
Statistical Mechanics
2014-03-07 v1
Abstract
We introduce a two-state non-conserving driven-diffusive system in one-dimension under a discrete-time updating scheme. We show that the steady-state of the system can be obtained using a matrix product approach. On the other hand, the steady-state of the system can be expressed in terms of a linear superposition Bernoulli shock measures with random walk dynamics. The dynamics of a shock position is studied in detail. The spectrum of the transfer matrix and the relaxation times to the steady-state have also been studied in the large-system-size limit.
Cite
@article{arxiv.1207.0440,
title = {Relaxation time in a non-conserving driven-diffusive system with parallel dynamics},
author = {S. R. Masharian and F. H. Jafarpour and A. Aghamohammadi},
journal= {arXiv preprint arXiv:1207.0440},
year = {2014}
}
Comments
10 pages