Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Alava, Mikko J. and Chattopadhyay, Amit K. (2004). Fluctuations and correlations in sandpiles and interfaces with boundary pinning. Physical review E, 69 (1 2),

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.

Divisions: Engineering & Applied Sciences > Mathematics
Uncontrolled 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
Published Date: 2004-01-20

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