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

Details Algebraic Bethe Ansatz for the two species ASEP with different hopping rates Algebraic Bethe Ansatz for the two species ASEP with different hopping rates

2007-10-22

arxiv.org/abs/0710.4083v1

Physics

Condensed Matter

Statistical Mechanics

14 pages

Scientific paper

10.1088/1751-8113/41/9/095001

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.

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