PMID: 11909048Mar 23, 2002Paper

Interface view of directed sandpile dynamics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Chun-Chung Chen, Marcel den Nijs

Abstract

We present a directed unloading sand-box-type avalanche model, driven by slowly lowering the retaining wall at the bottom of the slope. The avalanche propagation in the two-dimensional surface is related to the space-time configurations in one-dimensional Kardar-Parisi-Zhang (KPZ) interface growth. We relate the scaling exponents of the avalanche cluster distribution to those for the growing surface. The numerical results are close but deviate significantly from the exact KPZ values. This might reflect stronger than usual corrections to scaling or be more fundamental, due to correlations between subsequent space-time interface configurations.

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Citations

Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nicholas Chia, Ralf Bundschuh
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J G OliveiraG Tripathy
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chun-Chung Chen, Marcel den Nijs
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F C Alcaraz, V Rittenberg
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chun-Chung Chen

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