One-transit paths and steady-state of a non-equilibrium process in a discrete-time update
Statistical Mechanics
2011-03-17 v1 Disordered Systems and Neural Networks
Abstract
We have shown that the partition function of the Asymmetric Simple Exclusion Process with open boundaries in a sublattice-parallel updating scheme is equal to that of a two-dimensional one-transit walk model defined on a diagonally rotated square lattice. It has been also shown that the physical quantities defined in these systems are related through a similarity transformation.
Keywords
Cite
@article{arxiv.1103.3181,
title = {One-transit paths and steady-state of a non-equilibrium process in a discrete-time update},
author = {Vahid Fayaz and Farhad H. Jafarpour and Seyedeh Raziyeh Masharian and Somayeh Zeraati},
journal= {arXiv preprint arXiv:1103.3181},
year = {2011}
}
Comments
8 pages, 2 figures