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

Symmetry Pub Date : 2024-09-05 DOI:10.3390/sym16091164

Eunghyun Lee

引用次数: 0

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′

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在ℤ上具有长程跳跃的多物种非对称简单排斥过程的积分性

让我们考虑一个在 Z 上有有限多个粒子的双面多物种随机粒子模型，其定义如下。假设每个粒子都用一个正整数 l 标记，并等待速率为 1 的指数分布的随机时间。然后，它以 p 的概率选择向右跳，或以 q=1-p 的概率选择向左跳。如果粒子选择向右跳，它就会跳到离它最近的、被粒子 l′

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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