Anomalous Diffusion: Deterministic and Stochastic Perspectives

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