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

Research output: Contribution to journal › Article › peer-review

Abstract

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).

Original language	English
Article number	085002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	46
Issue number	8
DOIs	https://doi.org/10.1088/1751-8113/46/8/085002
Publication status	Published - 1 Mar 2013
Externally published	Yes

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10.1088/1751-8113/46/8/085002

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title = "Matrix product solution of an inhomogeneous multi-species TASEP",

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AB - 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).

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Matrix product solution of an inhomogeneous multi-species TASEP

Abstract

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