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

Authors
Mountford, Thomas Guiol, Hervé
Citation
Mountford, Thomas et Guiol, Hervé, The motion of a second class particle for the tasep starting from a decreasing shock profile, Annals of applied probability , 15(2), 2005, pp. 1227-1259
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
15
Issue
2
Year of publication
2005
Pages
1227 - 1259
Database
ACNP
SICI code
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. Poincaré Probab. Statist. 13 (1995) 143.154].