Exact Shock Profile for the ASEP with Sublattice-Parallel Update
Abstract
We analytically study the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries under sublattice-parallel updating scheme. We investigate the stationary state properties of this model conditioned on finding a given particle number in the system. Recent numerical investigations have shown that the model possesses three different phases in this case. Using a matrix product method we calculate both exact canonical partition function and also density profiles of the particles in each phase. Application of the Yang-Lee theory reveals that the model undergoes two second-order phase transitions at critical points. These results confirm the correctness of our previous numerical studies.
Cite
@article{arxiv.cond-mat/0504397,
title = {Exact Shock Profile for the ASEP with Sublattice-Parallel Update},
author = {F H Jafarpour and F E Ghafari and S R Masharian},
journal= {arXiv preprint arXiv:cond-mat/0504397},
year = {2009}
}
Comments
12 pages, 3 figures, accepted for publication in Journal of Physics A