Repulsion of an evolving surface on random walls

نویسندگان

  • L.R.G. Fontes
  • M. Vachkovskaia
  • A. Yambartsev
چکیده

We consider the motion of a discrete random surface interacting by exclusion with a random wall. Two cases are considered: rarefied walls and walls of random height. The dynamics is given by the serial harness process. In the first case, 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. In the case of walls of random height, we study the effect of the distribution of the wall heights on the repulsion speed.

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Repulsion of an evolving surface on walls with random heights

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تاریخ انتشار 2008