Determinant solution for the TASEP with particle-dependent hopping probabilities on a ring

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dc.creatorPoghosyan, V. S.
dc.creatorPriezzhev, V. B.
dc.date2006-07-28
dc.date.accessioned2026-07-07T09:47:53Z
dc.date.available2026-07-07T09:47:53Z
dc.descriptionWe consider the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent hopping probabilities. Using a combinatorial treatment of the Bethe ansatz, we derive the determinant expression for the non-stationary probability of transitions between particle configurations. In the continuous-time limit, we find a generalization of the recent result, obtained by A. Rákos and G.M. Schütz for infinite lattice, to the case of ring geometry.
dc.description4 pages, RevTeX4, 2 EPS figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0607751
dc.identifierhttp://arxiv.org/abs/cond-mat/0607751
dc.identifierMarkov Processes and Related Fields, 14, 233-254 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164011
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleDeterminant solution for the TASEP with particle-dependent hopping probabilities on a ring
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