English

Current moments of 1D ASEP by duality

Statistical Mechanics 2015-05-20 v1 Mathematical Physics math.MP

Abstract

We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Sch\"utz. For the ASEP on the infinite lattice we show that the nnth moment is reduced to the problem of the ASEP with less than or equal to nn particles.

Keywords

Cite

@article{arxiv.1011.4588,
  title  = {Current moments of 1D ASEP by duality},
  author = {Takashi Imamura and Tomohiro Sasamoto},
  journal= {arXiv preprint arXiv:1011.4588},
  year   = {2015}
}

Comments

13 pages, no figure