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

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We 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.
4 pages, RevTeX4, 2 EPS figures

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Statistical Mechanics, Soft Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/164011

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0607751
 http://arxiv.org/abs/cond-mat/0607751
 Markov Processes and Related Fields, 14, 233-254 (2008)

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arXiv