Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process

@inproceedings{Derrida1999BetheAS,
  title={Bethe Ansatz Solution for a Defect Particle in the Asymmetric Exclusion Process},
  author={Bernard Derrida and Martin R. Evans},
  year={1999}
}
The asymmetric exclusion process on a ring in one-dimension is considered with a single defect particle. The steady state has previously been solved by a matrix product method. Here we use the Bethe ansatz to solve exactly for the long time limit behaviour of the generating function of the distance travelled by the defect particle. This allows us to recover steady state properties known from the matrix approach such as the velocity, and obtain new results such as the diffusion constant of the… CONTINUE READING