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

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.

• Publication year

  2007

• Venue

  Journal of Physics A: Mathematical and Theoretical

• Publication date

  2007-10-22

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.1088/1751-8113/41/9/095001arXiv 0710.4083
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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