Matrix product solution of an inhomogeneous multi-species TASEP

Chikashi Arita; Kirone Mallick

doi:10.1088/1751-8113/46/8/085002

Matrix product solution of an inhomogeneous multi-species TASEP

Chikashi Arita
, Kirone Mallick

Institut Pierre Simon Laplace, CNRS and CEA

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study a multi-species exclusion process with inhomogeneous hopping rates and find a matrix product representation for the stationary state of this model. The matrices belong to the tensor algebra of the fundamental quadratic algebra associated with the exclusion process. We show that our matrix product representation is equivalent to a graphical construction proposed by Ayyer and Linusson (2012 arXiv:1206.0316), which generalizes an earlier probabilistic construction due to Ferrari and Martin (2007 Ann. Prob. 35 807).

langue originale	Anglais
Numéro d'article	085002
journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Numéro de publication	8
Les DOIs	https://doi.org/10.1088/1751-8113/46/8/085002
état	Publié - 1 mars 2013
Modification externe	Oui

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Matrix product solution of an inhomogeneous multi-species TASEP

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