A Dynamical Surface Interacting with Rarefied Walls

L.R.G. Fontes, M. Vachkovskaia, A.A. Yambartsev

2005, v.11, №4, 649-660


We consider the motion of a discrete random surface interacting by exclusion with a rarefied wall. The dynamics is given by the serial harness process. We prove that the process delocalizes iff the mean number of visits to the set of sites where the wall is present by a random walk is infinite. When the surface delocalizes, bounds on its average speed are obtained.

Keywords: harness process,surface dynamics,entropic repulsion,random environment


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