Depinning transition in disorder media: a fractional approach

H. Xia (), G. Tang, D. Hao and Z. Xun

The European Physical Journal B: Condensed Matter and Complex Systems, 2012, vol. 85, issue 9, 1-6

Abstract: We introduce a fractional stochastic equation for driven interfaces in random media, in which the normal diffusion term is replaced by a fractional Laplacian for exhibiting long-range interaction through quenched disorder. The critical exponents are obtained numerically at the depinning transition. Our results show that the model displays a family of continuously changing universality classes. The fractional Laplacian affects evidently the depinning transition in disorder media. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Keywords: Statistical and Nonlinear Physics (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1140/epjb/e2012-30232-x

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