English

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

Statistical Mechanics 2019-02-25 v1 Disordered Systems and Neural Networks

Abstract

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.

Keywords

Cite

@article{arxiv.1902.03157,
  title  = {Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems},
  author = {Fernando A. Oliveira and Rogelma M. S. Ferreira and Luciano C. Lapas and Mendeli H. Vainstein},
  journal= {arXiv preprint arXiv:1902.03157},
  year   = {2019}
}

Comments

Review article, 20 pages, 7 figures. arXiv admin note: text overlap with arXiv:cond-mat/0201446 by other authors

R2 v1 2026-06-23T07:35:52.952Z