Work

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

Year: 2024

Type: article

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′

Source: Symmetry

DOI: 10.3390/sym16091164

Author: Eunghyun Lee

Institution: Nazarbayev University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Nazarbayev University