English

The motion of a second class particle for the tasep starting from a decreasing shock profile

Probability 2007-05-23 v1

Abstract

We prove a strong law of large numbers for the location of the second class particle in a totally asymmetric exclusion process when the process is started initially from a decreasing shock. This completes a study initiated in Ferrari and Kipnis [Ann. Inst. H. Poincare Probab. Statist. 13 (1995) 143-154].

Keywords

Cite

@article{arxiv.math/0505216,
  title  = {The motion of a second class particle for the tasep starting from a decreasing shock profile},
  author = {Thomas Mountford and Herve Guiol},
  journal= {arXiv preprint arXiv:math/0505216},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/105051605000000151 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)