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

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

2006-07-28

arxiv.org/abs/cond-mat/0607751v1

Markov Processes and Related Fields, 14, 233-254 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, RevTeX4, 2 EPS figures

Scientific paper

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. R\'akos and G.M. Sch\"utz for infinite lattice, to the case of ring geometry.

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