2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75152We 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)Probability60K35 (Primary) 82C22. (Secondary)The motion of a second class particle for the tasep starting from a decreasing shock profiletext