Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Mikko J. Alava, Amit K. Chattopadhyay

Research output: Contribution to journalArticle

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
Number of pages5
JournalPhysical Review E
Volume69
Issue number1 2
DOIs
Publication statusPublished - 20 Jan 2004

Fingerprint

Sandpiles
Fluctuations
Critical State
Temporal Correlation
thermal noise
Violate
Crossover
Correlation Function
invariance
Invariance
Critical point
critical point
crossovers
Ensemble
Kinetics
Exponent
exponents
kinetics
Model

Keywords

  • boundary conditions
  • correlation methods
  • elasticity
  • interfaces (materials)
  • quenching
  • random processes
  • statistical tests
  • surface roughness
  • thermal noise
  • tme domain analysis
  • boundary pinning
  • self organized criticality (SOC)
  • Sand

Cite this

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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.",
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Fluctuations and correlations in sandpiles and interfaces with boundary pinning. / Alava, Mikko J.; Chattopadhyay, Amit K.

In: Physical Review E, Vol. 69, No. 1 2, 016104, 20.01.2004.

Research output: Contribution to journalArticle

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