Depinning transition in disorder media: a fractional approach
Department of Physics, China University of Mining and
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Received in final form: 28 June 2012
Published online: 17 September 2012
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012