Normal diffusion arises in a natural way from random walks with uncorrelated steps of bounded variance, or, in the deterministic setting, from wandering trajectories of a chaotic map. There are many ways in which such a picture fails, and, for instance, the variance of the traveller’s position does not grow linearly with time. We review the basic mechanisms that induce deviations from normal transport (long waiting times, broad step length distributions, intermittency, topological issues), and we describe how their origin can be traced back in stochastic and deterministic settings, illustrating a few techniques that allow for a quantitative analysis of such anomalies.

Anomalous Diffusion: Deterministic and Stochastic Perspectives / R., Artuso; Burioni, Raffaella. - STAMPA. - (2014), pp. 263-294. [10.1007/978-3-642-54251-0]

Anomalous Diffusion: Deterministic and Stochastic Perspectives

BURIONI, Raffaella
2014-01-01

Abstract

Normal diffusion arises in a natural way from random walks with uncorrelated steps of bounded variance, or, in the deterministic setting, from wandering trajectories of a chaotic map. There are many ways in which such a picture fails, and, for instance, the variance of the traveller’s position does not grow linearly with time. We review the basic mechanisms that induce deviations from normal transport (long waiting times, broad step length distributions, intermittency, topological issues), and we describe how their origin can be traced back in stochastic and deterministic settings, illustrating a few techniques that allow for a quantitative analysis of such anomalies.
9783642542503
Anomalous Diffusion: Deterministic and Stochastic Perspectives / R., Artuso; Burioni, Raffaella. - STAMPA. - (2014), pp. 263-294. [10.1007/978-3-642-54251-0]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2782732
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