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

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.

4 pages, RevTeX4, 2 EPS figures

References in corpus (6)

• Discrete stochastic models for traffic flow
• Exact Solution of the Master Equation for the Asymmetric Exclusion Process
• Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
• Dynamics of the condensate in zero-range processes
• Zero range model of traffic flow
• Exact Non-Stationary Probabilities in the Asymmetric Exclusion Process on a Ring

Cited by in corpus (2)

• Multi-point distribution of periodic TASEP
• Fluctuations of TASEP on a ring in relaxation time scale