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On the Distribution of a Second Class Particle in the Asymmetric Simple Exclusion Process

Probability 2009-10-06 v1 Mathematical Physics math.MP

Abstract

We give an exact expression for the distribution of the position X(t) of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin and the first class particles occupy the sites {1,2,...}.

Keywords

Cite

@article{arxiv.0907.4395,
  title  = {On the Distribution of a Second Class Particle in the Asymmetric Simple Exclusion Process},
  author = {Craig A. Tracy and Harold Widom},
  journal= {arXiv preprint arXiv:0907.4395},
  year   = {2009}
}