Integrability of the Multi-Species Asymmetric Simple Exclusion Processes with Long-Range Jumps on Z

2024

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DOI 10.3390/sym16091164
Data confidence 70 medium
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Abstract

Let us consider a two-sided multi-species stochastic particle model with finitely many particles on Z, defined as follows. Suppose that each particle is labelled by a positive integer l, and waits a random time exponentially distributed with rate 1. It then chooses the right direction to jump with probability p, or the left direction with probability q=1−p. If the particle chooses the right direction, it jumps to the nearest site occupied by a particle l′