A limit result for a system of particles in random environment
arXiv:0708.4156 · doi:10.1007/s10955-008-9497-z
Abstract
We consider an infinite system of particles in one dimension, each particle performs independant Sinai's random walk in random environment. Considering an instant $t$, large enough, we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment the time $t$ and the starting point of the particles.
11 pages