The phase diagram for a multispecies left-permeable asymmetric exclusion process
Statistical Mechanics
2019-02-19 v2 Mathematical Physics
math.MP
Probability
Abstract
We study a multispecies generalization of a left-permeable asymmetric exclusion process (LPASEP) in one dimension with open boundaries. We determine all phases in the phase diagram using an exact projection to the LPASEP solved by us in a previous work. In most phases, we observe the phenomenon of dynamical expulsion of one or more species. We explain the density profiles in each phase using interacting shocks. This explanation is corroborated by simulations.
Keywords
Cite
@article{arxiv.1808.05807,
title = {The phase diagram for a multispecies left-permeable asymmetric exclusion process},
author = {Arvind Ayyer and Caley Finn and Dipankar Roy},
journal= {arXiv preprint arXiv:1808.05807},
year = {2019}
}
Comments
19 pages, 11 figures, minor improvements, references added