Work

Multispecies TASEP and combinatorialR

Year: 2015

Type: article

Abstract: We identify the algorithm for constructing steady states of the n -species totally asymmetric simple exclusion process (TASEP) on an L site periodic chain by Ferrari and Martin with a composition of combinatorial R for the quantum affine algebra U q ( s l ^ L ) in crystal base theory. Based on this connection and the factorized form of the R matrix derived recently from the tetrahedron equation, we establish a new matrix product formula for the steady state of the TASEP, which is expressed in terms of corner transfer matrices of the q -oscillator valued five-vertex model at q = 0.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8113/48/34/34ft02

Authors: Atsuo Kuniba, Shouya Maruyama, Masato Okado

Institutions: The University of Tokyo, Osaka City University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Awards: Tetrahedron equation and quantum integrable systems, Studies of the algebraic and combinatorial structures related to quantum integrable systems, Tetrahedron equation and quantum groups