English

Asymmetric exclusion model with impurities

Statistical Mechanics 2010-05-21 v1 Exactly Solvable and Integrable Systems

Abstract

An integrable asymmetric exclusion process with impurities is formulated. The model displays the full spectrum of the stochastic asymmetric XXZ chain plus new levels. We derive the Bethe equations and calculate the spectral gap for the totally asymmetric diffusion at half filling. While the standard asymmetric exclusion process without impurities belongs to the KPZ universality class with a exponent 3/2, our model has a scaling exponent 5/2.

Keywords

Cite

@article{arxiv.1005.3780,
  title  = {Asymmetric exclusion model with impurities},
  author = {Matheus J. Lazo and Anderson A. Ferreira},
  journal= {arXiv preprint arXiv:1005.3780},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T15:25:46.438Z