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Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems

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arxiv 1902.03157 v1 pith:J4BDCNOM submitted 2019-02-08 cond-mat.stat-mech cond-mat.dis-nn

Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems

Fernando A. Oliveira , Rogelma M. S. Ferreira , Luciano C. Lapas , Mendeli H. Vainstein This is my paper
classification cond-mat.stat-mech cond-mat.dis-nn
keywords anomalousdiffusiondiffusivemethodssystemsanalysisappliedarticle
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In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in condensed matter physics, chemistry and biology. Emphasis will be given to some methods applied in the analysis and characterization of diffusive regimes through the memory function, the mixing condition (or irreversibility), and ergodicity. Those methods can be used in the study of small-scale systems, ranging in size from single-molecule to particle clusters and including among others polymers, proteins, ion channels and biological cells, whose diffusive properties have received much attention lately.

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