Scaling properties of field-induced superdiffusion in Continous Time Random Walks
Abstract
We consider a broad class of Continuous Time Random Walks with large fluctuations effects in space and time distributions: a random walk with trapping, describing subdiffusion in disordered and glassy materials, and a L\'evy walk process, often used to model superdiffusive effects in inhomogeneous materials. We derive the scaling form of the probability distributions and the asymptotic properties of all its moments in the presence of a field by two powerful techniques, based on matching conditions and on the estimate of the contribution of rare events to power-law tails in a field.
Keywords
Cite
@article{arxiv.1409.8078,
title = {Scaling properties of field-induced superdiffusion in Continous Time Random Walks},
author = {R. Burioni and G. Gradenigo and A. Sarracino and A. Vezzani and A. Vulpiani},
journal= {arXiv preprint arXiv:1409.8078},
year = {2015}
}
Comments
17 pages, 8 figures, Proceedings of the Conference "Small system nonequilibrium fluctuations, dynamics and stochastics, and anomalous behavior", KITPC, Beijing, China