Corpus ID: 232478931

Limiting current distribution for a two species asymmetric exclusion process

@inproceedings{Chen2021LimitingCD,
  title={Limiting current distribution for a two species asymmetric exclusion process},
  author={Zeying Chen and Jan de Gier and Iori Hiki and Tomohiro Sasamoto and Masato Usui},
  year={2021}
}
We study current fluctuations of a two-species asymmetric exclusion process, known as the Arndt-Heinzel-Rittenberg model. For a step-Bernoulli initial condition with finite number of particles, we provide an explicit multiple integral expression for a certain joint current probability distribution. By performing an asymptotic analysis we prove that the joint current distribution is given by a product of a Gaussian and a GUE Tracy-Widom distribution in the long time limit, as predicted by non… Expand
Transition probability and total crossing events in the multi-species asymmetric exclusion process
We present explicit formulas for total crossing events in the multi-species asymmetric exclusion process (r-ASEP) with underlying Uq(ŝlr+1) symmetry. In the case of the two-species TASEP these can beExpand