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Scaling properties of field-induced superdiffusion in continuous time random walks (Articolo in rivista)

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Scaling properties of field-induced superdiffusion in continuous time random walks (Articolo in rivista) (literal)

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R. Burioni (1,8); G. Gradenigo (1,2,3); A. Sarracino (4,5,8); A. Vezzani (1,6); A. Vulpiani (7,8) (2014)
Scaling properties of field-induced superdiffusion in continuous time random walks
in Communications in Theoretical Physics; Chinese Physical Society, Beijing (Cina)
(literal)

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R. Burioni (1,8); G. Gradenigo (1,2,3); A. Sarracino (4,5,8); A. Vezzani (1,6); A. Vulpiani (7,8) (literal)

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(1) Dipartimento di Fisica e Scienza della Terra, Università degli Studi di Parma and INFN, Gruppo Collegato di Parma, viale G.P. Usberti 7/A, 43126 Parma, Italy (2) Institut de Physique Théorique, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France (3) Laboratoire de Physique Théorique et Modéles Statistiques, CNRS et Université Paris-Sud 11, 91405 Orsay Cedex, France (4) ISC-CNR and Dipartimento di Fisica, Università Sapienza, p.le A. Moro 2, 00185 Roma, Italy (5) Laboratoire de Physique Théorique de la Matière Condensée, CNRS, Université Paris 6, 4 Place Jussieu, 75255 Paris Cedex, France (6) Centro S3, CNR-Nanoscienze, Via Campi 213A, 41125 Modena, Italy (7) Dipartimento di Fisica, Università Sapienza and ISC-CNR, p.le A. Moro 2, 00185 Roma, Italy (8) Kavli Institute for Theoretical Physics, Beijing 100190, China (literal)

Titolo

Scaling properties of field-induced superdiffusion in continuous time random walks (literal)

Abstract

We consider a broad class of Continuous Time Random Walks (CTRW) with large fluctuations effects in space and time distributions: a random walk with trapping, describing subdiffusion in disordered and glassy materials, and a Lévy 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. (literal)

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