English

Domain wall of the totally asymmetric exclusion process without particle number conservation

Mathematical Physics 2011-05-06 v1 math.MP

Abstract

In this research, the totally asymmetric exclusion process without particle number conservation is discussed. Based on the mean field approximation and the Rankine-Hugoniot condition, the necessary and sufficient conditions of the existence of the domain wall have been obtained. Moreover, the properties of the domain wall, including the location and height, have been studied theoretically. All the theoretical results are demonstrated by the computer simulations.

Keywords

Cite

@article{arxiv.0810.1181,
  title  = {Domain wall of the totally asymmetric exclusion process without particle number conservation},
  author = {Yunxin Zhang},
  journal= {arXiv preprint arXiv:0810.1181},
  year   = {2011}
}