English

Matrix product solution to multi-species ASEP with open boundaries

Statistical Mechanics 2018-04-18 v1

Abstract

We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form and we compute its normalisation. Densities and currents for the different species are then computed in term of this normalisation.

Keywords

Cite

@article{arxiv.1712.06809,
  title  = {Matrix product solution to multi-species ASEP with open boundaries},
  author = {C. Finn and E. Ragoucy and M. Vanicat},
  journal= {arXiv preprint arXiv:1712.06809},
  year   = {2018}
}

Comments

26 pages

R2 v1 2026-06-22T23:22:40.111Z