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

arXiv:math/0505216 · doi:10.1214/105051605000000151

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].

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)