Repulsion of an evolving surface on walls with random heights

Details Repulsion of an evolving surface on walls with random heights Repulsion of an evolving surface on walls with random heights

2004-05-11

arxiv.org/abs/math/0405186v2

Mathematics

Probability

8 pages

Scientific paper

We consider the motion of a discrete random surface interacting by exclusion
with a random wall. The heights of the wall at the sites of $\Z^d$ are i.i.d.\
random variables. Fixed the wall configuration, the dynamics is given by the
serial harness process which is not allowed to go below the wall. We study the
effect of the distribution of the wall heights on the repulsion speed.

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