Exact Nonstationary Probabilities in the Asymmetric Exclusion Process on a Ring

V. B. Priezzhev

Phys. Rev. Lett. 91, 050601 – Published 1 August 2003

Abstract

The complete solution of the master equation for a system of interacting particles of finite density is presented. By using a new form of the Bethe ansatz, the totally asymmetric exclusion process on a ring is solved for arbitrary initial conditions and time intervals.

Received 2 December 2002

DOI:https://doi.org/10.1103/PhysRevLett.91.050601

Authors & Affiliations

V. B. Priezzhev^*

Max-Planck Institute for the Physics of Complex Systems, Nöthnitzer straße 38, D-01187 Dresden, Germany
Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia