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

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 p...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry (Basel) 2024-09, Vol.16 (9), p.1164
Main Author: Lee, Eunghyun
Format: Article
Language:English
Subjects:
Transition probabilities
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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′
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16091164