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Depinning transition in disorder media: a fractional approach

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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.

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Authors and Affiliations

  1. Department of Physics, China University of Mining and Technology, Xuzhou, 221116, P.R. China

    H. Xia, G. Tang, D. Hao & Z. Xun

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  1. H. Xia
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  2. G. Tang
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  3. D. Hao
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  4. Z. Xun
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Correspondence to H. Xia.

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Xia, H., Tang, G., Hao, D. et al. Depinning transition in disorder media: a fractional approach. Eur. Phys. J. B 85, 315 (2012). https://doi.org/10.1140/epjb/e2012-30232-x

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  • DOI: https://doi.org/10.1140/epjb/e2012-30232-x

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