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

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.

14 pages

References in corpus (2)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Derivation of a Matrix Product Representation for the Asymmetric Exclusion Process from Algebraic Bethe Ansatz

Cited by in corpus (9)

• Matrix product solution of the multispecies partially asymmetric exclusion process
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Matrix product solution to a 2-species TASEP with open integrable boundaries
• Hydrodynamic behavior of the 2-TASEP
• Limiting current distribution for a two species asymmetric exclusion process
• Integrability of two-species partially asymmetric exclusion processes
• KPZ fluctuations in finite volume
• Transition probability and total crossing events in the multi-species asymmetric exclusion process
• Current fluctuations for the second class particle : joint statistics