English

A two--parametric family of asymmetric exclusion processes and its exact solution

Condensed Matter 2015-06-25 v3

Abstract

A two--parameter family of asymmetric exclusion processes for particles on a one-dimensional lattice is defined. The two parameters of the model control the driving force and an effect which we call pushing, due to the fact that particles can push each other in this model. We show that this model is exactly solvable via the coordinate Bethe Ansatz and show that its {\it N}-particle SS-matrix is factorizable. We also study the interplay of the above effects in determining various steady state and dynamical characteristics of the system.

Cite

@article{arxiv.cond-mat/9805155,
  title  = {A two--parametric family of asymmetric exclusion processes and its exact solution},
  author = {M. Alimohammadi and V. Karimipour and M. Khorrami},
  journal= {arXiv preprint arXiv:cond-mat/9805155},
  year   = {2015}
}

Comments

The last version that will be appeared in " Jour. Stat. Phys. (1999) "