B. Gaveau et al., TRANSPORT IN A RANDOM MEDIUM WITH SPATIAL CORRELATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(2), 1994, pp. 1144-1150
We consider the transport properties of a particle moving on a one-dim
ensional lattice with nearest neighbor correlations between the states
of the sites. In particular, we compute analytically the transmission
probability and the autocorrelation of the velocity, and we prove tha
t they have an anomalously slow decay.