Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Mikko J. Alava; Amit K. Chattopadhyay

doi:10.1103/PhysRevE.69.016104

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 β_1D∼0.88±0.03 and β_2D∼0.52±0.05, while at the boundaries β_b,1D/2D∼0.47±0.05. The bulk β_1D is shown to be reproduced in a randomly kicked thermal EW model.

Original language	English
Article number	016104
Number of pages	5
Journal	Physical Review E
Volume	69
Issue number	1 2
DOIs	https://doi.org/10.1103/PhysRevE.69.016104
Publication status	Published - 20 Jan 2004

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

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10.1103/PhysRevE.69.016104

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title = "Fluctuations and correlations in sandpiles and interfaces with boundary pinning",

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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AU - Alava, Mikko J.

AU - Chattopadhyay, Amit K.

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N2 - 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.

AB - 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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KW - elasticity

KW - interfaces (materials)

KW - quenching

KW - random processes

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KW - thermal noise

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JO - Physical Review E

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Fluctuations and correlations in sandpiles and interfaces with boundary pinning

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