Asymmetric Exclusion Process with Global Hopping
Statistical Mechanics
2013-10-15 v2
Abstract
We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The system attains a non-trivial stationary state with density profile varying over the spatial extent of the system. The density profile undergoes a non-equilibrium phase transition when the average density passes through the critical value 1-1/[4(1-ln 2)]=0.185277..., viz. in addition to the discontinuity in the vicinity of the special site, a shock wave is formed in the bulk of the system when the density exceeds the critical density.
Cite
@article{arxiv.1307.4367,
title = {Asymmetric Exclusion Process with Global Hopping},
author = {Chikashi Arita and Jérémie Bouttier and P. L. Krapivsky and Kirone Mallick},
journal= {arXiv preprint arXiv:1307.4367},
year = {2013}
}
Comments
Published version (v2)