J. Falk et al., INTERMITTENT DYNAMICS AND SELF-ORGANIZED DEPINNING IN PROPAGATING FRONTS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2804-2808
We study the roughening dynamics of a two-dimensional front where adva
nces are made at minimal pinning sites, while slopes of the front are
kept finite by additional lateral growth. The interface self-organizes
toward a critical state with long-range correlations in space and tim
e. The dynamics is governed by intermittent bursts which give rise to
a scale-invariant avalanche distribution and multiscaling of the tempo
ral roughening. Generalizing a recently proposed theory for the one-di
mensional case, we demonstrate that the multiscaling can be explained
by the static roughness exponent alone. The correlation between subseq
uent deposition activities exhibits the same power law as in the. one-
dimensional case.