arXiv:0710.4083 · Journal of Physics A Mathematical and Theoretical

Algebraic Bethe ansatz for the two species ASEP with different hopping rates

Luigi Cantini A

Published Feb 19, 2008• 38 citations

Abstract

An ASEP with two species of particles and different hopping rates is considered on a ring. Its integrability is proved, and the nested algebraic Bethe ansatz is used to derive the Bethe equations for states with arbitrary numbers of particles of each type, generalizing the results of Derrida and Evans [10]. We also present formulae for the total velocity of particles of a given type and their limit given the large size of the system and the finite densities of the particles.

DOI: 10.1088/1751-8113/41/9/095001

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