Matrix product solution of the multispecies partially asymmetric exclusion process
Statistical Mechanics
2009-03-30 v3
Abstract
We find the exact solution for the stationary state measure of the partially asymmetric exclusion process on a ring with multiple species of particles. The solution is in the form of a matrix product representation where the matrices for a system of N species are defined recursively in terms of the matrices for a system of N-1 species. A complete proof is given, based on the quadratic relations verified by these matrices. This matrix product construction is interpreted in terms of the action of a transfer matrix.
Cite
@article{arxiv.0812.3293,
title = {Matrix product solution of the multispecies partially asymmetric exclusion process},
author = {S. Prolhac and M. R. Evans and K. Mallick},
journal= {arXiv preprint arXiv:0812.3293},
year = {2009}
}
Comments
27 pages, 3 figures