Matrix product solution of the multispecies partially asymmetric exclusion process

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dc.creatorProlhac, S.
dc.creatorEvans, M. R.
dc.creatorMallick, K.
dc.date2008-12-17
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:57:25Z
dc.date.available2026-07-07T12:57:25Z
dc.descriptionWe 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.
dc.description27 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0812.3293
dc.identifierhttp://arxiv.org/abs/0812.3293
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 165004
dc.identifierdoi:10.1088/1751-8113/42/16/165004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224921
dc.subjectStatistical Mechanics
dc.titleMatrix product solution of the multispecies partially asymmetric exclusion process
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