Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Mikko Alava, A.Kr. Chattopadhyay

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
4 Downloads (Pure)

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

Keywords

  • interface depinning
  • sandpiles
  • self-organized criticality

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