Matrix product solution of the multispecies partially asymmetric exclusion process

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We find the exact solution for the stationary state measure of the partially asymmetric exclusion process on a ring with multiple species of particles. The solution is in the form of a matrix product representation where the matrices for a system of N species are defined recursively in terms of the matrices for a system of N-1 species. A complete proof is given, based on the quadratic relations verified by these matrices. This matrix product construction is interpreted in terms of the action of a transfer matrix.
27 pages, 3 figures

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/224921

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3293
 http://arxiv.org/abs/0812.3293
 J. Phys. A: Math. Theor. 42 (2009) 165004
 doi:10.1088/1751-8113/42/16/165004

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arXiv