Intermittent dynamics and self-organized depinning in propagating fronts

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Abstract
We study the roughening dynamics of a two-dimensional front where advances 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 time. The dynamics is governed by intermittent bursts which give rise to a scale-invariant avalanche distribution and multiscaling of the temporal roughening. Generalizing a recently proposed theory for the one-dimensional case, we demonstrate that the multiscaling can be explained by the static roughness exponent alone. The correlation between subsequent deposition activities exhibits the same power law as in the one-dimensional case.