Integral formulas of ASEP and -TAZRP on a ring
arXiv:1905.02987 · doi:10.1007/s00220-020-03837-7
Abstract
In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the -deformed Totally Asymmetric Zero Range Process (-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.
64 pages, 1 figure