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Publication
Physical Review Letters
Paper
Dirt roughens real sandpiles
Abstract
It is shown that translational disorder in the interior bulk of real sandpiles is a relevant perturbation on self-organized surface fluctuations. In two simplified models, this disorder destroys the flat phase of the surface; surface fluctuations are instead described at long wavelengths for all parameter values by a simple diffusion equation with noise, which implies a logarithmically rough surface in d=2. This result suggests that real sandpiles may also be described by a simple diffusion equation, and proves that bulk translational disorder is important for their surface fluctuations. © 1991 The American Physical Society.