Algebraic Bethe Ansatz for the two species ASEP with different hopping rates
Statistical Mechanics
2009-11-13 v1
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. We present also formulas for the total velocity of particles of a given type and their limit for large size of the system and finite densities of the particles.
Keywords
Cite
@article{arxiv.0710.4083,
title = {Algebraic Bethe Ansatz for the two species ASEP with different hopping rates},
author = {Luigi Cantini},
journal= {arXiv preprint arXiv:0710.4083},
year = {2009}
}
Comments
14 pages