Integral formulas of ASEP and $q$-TAZRP on a ring

Abstract

In this paper, we obtain the transition probability formulas for the Asymmetric Simple Exclusion Process (ASEP) and the $q$-deformed Totally Asymmetric Zero Range Process ($q$-TAZRP) on the ring by applying the coordinate Bethe ansatz. We also compute the distribution function for a tagged particle with general initial condition.

arXiv comment64 pages, 1 figure

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Cited by in corpus (5)

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• Fluctuation Exponents of the KPZ equation on a large torus
• KPZ fluctuations in finite volume
• Markov duality and Bethe ansatz formula for half-line open ASEP
• Current statistics in the q-boson zero range process