https://doi.org/10.1140/epjb/e2012-30232-x
Regular Article
Depinning transition in disorder media: a fractional approach
Department of Physics, China University of Mining and
Technology, Xuzhou
221116, P.R.
China
a e-mail: xiahuicumt@163.com
Received:
15
March
2012
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