Fluctuations and correlations in sandpiles and interfaces with boundary pinning

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2004
Major/Subject
Mcode
Degree programme
Language
en
Pages
016104/1-5
Series
Physical Review E, Volume 69, Issue 1
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.
Description
Keywords
interface depinning, sandpiles, self-organized criticality
Other note
Citation
Alava, Mikko J. & Chattopadhyay, Amit K. 2004. Fluctuations and correlations in sandpiles and interfaces with boundary pinning. Physical Review E. Volume 69, Issue 1. 016104/1-5. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.69.016104.