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

Mikko J. Alava
, Amit K. Chattopadhyay

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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

Access to Document

10.1103/PhysRevE.69.016104

Cite this

@article{f44b0918b7d64cde95bc3fa475d8bae6,

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 = "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",

author = "Alava, \{Mikko J.\} and Chattopadhyay, \{Amit K.\}",

year = "2004",

month = jan,

day = "20",

doi = "10.1103/PhysRevE.69.016104",

language = "English",

volume = "69",

journal = "Physical Review E",

issn = "1063-651X",

publisher = "American Physical Society",

number = "1 2",

}

TY - JOUR

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

AU - Alava, Mikko J.

AU - Chattopadhyay, Amit K.

PY - 2004/1/20

Y1 - 2004/1/20

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 - boundary conditions

KW - correlation methods

KW - elasticity

KW - interfaces (materials)

KW - quenching

KW - random processes

KW - statistical tests

KW - surface roughness

KW - thermal noise

KW - tme domain analysis

KW - boundary pinning

KW - self organized criticality (SOC)

KW - Sand

UR - http://journals.aps.org/pre/abstract/10.1103/PhysRevE.69.016104

UR - https://www.scopus.com/pages/publications/11144249483

U2 - 10.1103/PhysRevE.69.016104

DO - 10.1103/PhysRevE.69.016104

M3 - Article

SN - 1063-651X

VL - 69

JO - Physical Review E

JF - Physical Review E

IS - 1 2

M1 - 016104

ER -

Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this