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26 April 2024
 
  » arxiv » cond-mat/0312533

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Roughness of Sandpile Surfaces
J. G. Oliveira ; J. F. F. Mendes ; G. Tripathy ;
Date 19 Dec 2003
Journal Phys. Rev. E 69, 031105 (2004)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe study the surface roughness of prototype models displaying self-organized criticality (SOC) and their noncritical variants in one dimension. For SOC systems, we find that two seemingly equivalent definitions of surface roughness yields different asymptotic scaling exponents. Using approximate analytical arguments and extensive numerical studies we conclude that this ambiguity is due to the special scaling properties of the nonlinear steady state surface. We also find that there is no such ambiguity for non-SOC models, although there may be intermediate crossovers to different roughness values. Such crossovers need to be distinguished from the true asymptotic behaviour, as in the case of a noncritical disordered sandpile model studied in [10].
Source arXiv, cond-mat/0312533
Other source [GID 164765] pmid15089263
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