The asymmetric exclusion model with sequential update
Condensed Matter
2009-10-28 v1
Abstract
We present a solution for the stationary state of an asymmetric exclusion model with sequential update and open boundary conditions. We solve the model exactly for random hopping in both directions by applying a matrix-product formalism which was recently used to solve the model with sublattice-parallel update[1]. It is shown that the matrix-algebra describing the sequential update and sublattice-parallel update are identical and can be mapped onto the random sequential case treated by Derrida et al[2].
Cite
@article{arxiv.cond-mat/9603172,
title = {The asymmetric exclusion model with sequential update},
author = {N. Rajewsky and A. Schadschneider and M. Schreckenberg},
journal= {arXiv preprint arXiv:cond-mat/9603172},
year = {2009}
}
Comments
7 pages, Latex