English

Renormalization group analysis for an asymmetric simple exclusion process

Statistical Mechanics 2017-04-05 v1

Abstract

A perturbative renormalization group method is used to obtain steady-state density profiles of a particle non-conserving asymmetric simple exclusion process. This method allows us to obtain a globally valid solution for the density profile without the asymptotic matching of bulk and boundary layer solutions. In addition, we show a nontrivial scaling of the boundary layer width with the system size close to specific phase boundaries.

Keywords

Cite

@article{arxiv.1702.05225,
  title  = {Renormalization group analysis for an asymmetric simple exclusion process},
  author = {Sutapa Mukherji},
  journal= {arXiv preprint arXiv:1702.05225},
  year   = {2017}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-22T18:20:54.520Z