Z. Olami et al., THEORY OF SELF-ORGANIZED INTERFACE DEPINNING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1232-1237
We present a theoretical analysis of a recently introduced interface g
rowth model with a global search of optimal growth sites, realized by
quenched random forces. The interest in this model lies in the fact th
at it yields a variety of long-ranged correlated phenomena, which are
characterized by scaling exponents that differ from the Kardar-Parisi-
Zhang universality class [Phys. Rev. Lett. 56, 889 (1986)], in closer
correspondence with experimental observations. It is shown that all th
e phenomenological findings can be, recovered from the theory, and all
the exponents found can be computed from the knowledge of one exponen
t of the directed percolation problem.