Law of large numbers for the asymmetric simple exclusion process
E. Andjel, P. A. Ferrari, A. Siqueira
Abstract
We consider simple exclusion processes on Z for which the underlying random walk has a finite first moment and a non-zero mean and whose initial distributions are product measures with different densities to the left and to the right of the origin. We prove a strong law of large numbers for the number of particles present at time t in an interval growing linearly with t.
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