Fluctuations and correlations in sandpiles and interfaces with boundary pinning

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Abstract

Interfaces are studied in an inhomogeneous critical state where boundary pinning is compensated with a ramped force. Sandpiles driven off the self-organized critical point provide an example of this ensemble in the Edwards-Wilkinson (EW) model of kinetic roughening. A crossover from quenched to thermal noise violates spatial and temporal translational invariances. The bulk temporal correlation functions have the effective exponents β1D∼0.88±0.03 and β2D∼0.52±0.05, while at the boundaries βb,1D/2D∼0.47±0.05. The bulk β1D is shown to be reproduced in a randomly kicked thermal EW model.

Details

Original languageEnglish
Article number016104
Pages (from-to)1-5
JournalPhysical Review E
Volume69
Issue number1
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

    Research areas

  • interface depinning, sandpiles, self-organized criticality

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