Interface motion in a random medium: mean field theory
- 7 May 1992
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 25 (9), L555-L559
- https://doi.org/10.1088/0305-4470/25/9/009
Abstract
The motion of an interface in a random medium is studied by a stochastic differential equation, with terms corresponding to an external driving field, interface elasticity, and a (quenched) random background field. For driving fields F smaller than a threshold field Fc the interface is pinned, i.e. the velocity v=0. Fc and v are calculated within a discretized mean field theory. For F close to the threshold field the author finds that v grows linearly with F-Fc. Simulations of the mean field equations are in agreement with the analytical results.Keywords
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