Fluctuations and correlations in sandpiles and interfaces with boundary pinning

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Fluctuations and correlations in sandpiles and interfaces with boundary pinning. / Alava, Mikko; Chattopadhyay, A.Kr.

In: Physical Review E, Vol. 69, No. 1, 016104, 2004, p. 1-5.

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@article{9c2b87da80844cec9eaa2116c9d99471,
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.",
keywords = "interface depinning, sandpiles, self-organized criticality, interface depinning, sandpiles, self-organized criticality, interface depinning, sandpiles, self-organized criticality",
author = "Mikko Alava and A.Kr. Chattopadhyay",
year = "2004",
doi = "10.1103/PhysRevE.69.016104",
language = "English",
volume = "69",
pages = "1--5",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

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TY - JOUR

T1 - Fluctuations and correlations in sandpiles and interfaces with boundary pinning

AU - Alava, Mikko

AU - Chattopadhyay, A.Kr.

PY - 2004

Y1 - 2004

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.

KW - interface depinning

KW - sandpiles

KW - self-organized criticality

KW - interface depinning

KW - sandpiles

KW - self-organized criticality

KW - interface depinning

KW - sandpiles

KW - self-organized criticality

U2 - 10.1103/PhysRevE.69.016104

DO - 10.1103/PhysRevE.69.016104

M3 - Article

VL - 69

SP - 1

EP - 5

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 016104

ER -

ID: 3403330