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Factorised Steady States in Mass Transport Models

Statistical Mechanics 2009-11-10 v1

Abstract

We study a class of mass transport models where mass is transported in a preferred direction around a one-dimensional periodic lattice and is globally conserved. The model encompasses both discrete and continuous masses and parallel and random sequential dynamics and includes models such as the Zero-range process and Asymmetric random average process as special cases. We derive a necessary and sufficient condition for the steady state to factorise, which takes a rather simple form.

Keywords

Cite

@article{arxiv.cond-mat/0406524,
  title  = {Factorised Steady States in Mass Transport Models},
  author = {M. R. Evans and Satya N. Majumdar and R. K. P. Zia},
  journal= {arXiv preprint arXiv:cond-mat/0406524},
  year   = {2009}
}

Comments

6 pages

R2 v1 2026-07-22T11:04:39.980Z