Jp. Fouque et E. Saada, TOTALLY ASYMMETRIC ATTRACTIVE PARTICLE-SYSTEMS ON Z - HYDRODYNAMIC LIMIT FOR GENERAL INITIAL PROFILES, Stochastic processes and their applications, 51(1), 1994, pp. 9-23
We extend previous results on the preservation of local equilibrium fo
r one dimensional totally asymmetric attractive particle systems, the
simple exclusion process and the zero range process. The hydrodynamic
behavior is studied for general initial profiles when particles are ju
mping only to the nearest neighbor in a given direction.