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.

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
Authors: Alava, Mikko J.
Chattopadhyay, Amit K.

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