The motion of a second class particle for the tasep starting from a decreasing shock profile
Authors:
- Thomas MountfordTMThomas Mountford
- Herve GuiolHGHerve Guiol
Preprint
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
All Related Versions
- Version 1, 2005-05-11, ArXiv
- Published version: The Annals of Applied Probability, 15 (2), 1227.
This publication has 11 references indexed in Scilit:
- Second class particles as microscopic characteristics in totally asymmetric nearest-neighbor $K$-exclusion processesTransactions of the American Mathematical Society, 2001
- Hydrodynamic Profiles for the Totally Asymmetric Exclusion Process with a Slow BondJournal of Statistical Physics, 2001
- Shape Fluctuations and Random MatricesCommunications in Mathematical Physics, 2000
- Scaling Limits of Interacting Particle Systems1999
- Existence of Hydrodynamics for the Totally Asymmetric Simple K-Exclusion ProcessThe Annals of Probability, 1999
- Microscopic structure of shocks in one conservation lawsAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1995
- On the Speed of Convergence in First-Passage PercolationThe Annals of Applied Probability, 1993
- Shock fluctuations in asymmetric simple exclusionProbability Theory and Related Fields, 1992
- Microscopic Structure of Travelling Waves in the Asymmetric Simple Exclusion ProcessThe Annals of Probability, 1991
- Non-equilibrium behaviour of a many particle process: Density profile and local equilibriaProbability Theory and Related Fields, 1981