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

V. S. Poghosyan·V. B. Priezzhev
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Abstract

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.

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V. S. Poghosyan, V. B. Priezzhev. 2006-07-28. Determinant solution for the TASEP with particle-dependent hopping probabilities on a ring. https://arxiv.org/abs/cond-mat/0607751

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