English

Multilane Asymmetric Exclusion Process with stationary Bernoulli measure

Statistical Mechanics 2026-05-11 v1

Abstract

We consider an Asymmetric Exclusion Process evolving on parallel mutually interacting lanes with neighbouring nearest hoppings of hardcore particles. Number of particles on each lane is conserved. We find a choice of the hopping rates, for which the process has Bernouilli stationary product measure, and calculate the stationary particle currents as a function of average particle densities.

Keywords

Cite

@article{arxiv.2605.06949,
  title  = {Multilane Asymmetric Exclusion Process with stationary Bernoulli measure},
  author = {Vladislav Popkov},
  journal= {arXiv preprint arXiv:2605.06949},
  year   = {2026}
}

Comments

4 pages, 2 Figures

R2 v1 2026-07-01T12:56:18.944Z