Igor Sokolov
Humboldt University Berlin
Normal and anomalous diffusion in random potential landscapes

The talk reports on attempts to give a classification of anomalous diffusion regimes based on physical reasons in search for the order in the large Zoo of pertinent mathematical models. We confine ourselves to systems possessing thermodynamical equilibrium and consider the particle's diffusion in a generic lattice model with sites representing potential wells separated by barriers associated with the bonds. We discuss under what conditions the diffusion in such a system can get anomalous and how this anomalous diffusion can be mimicked by probabilistic models. We moreover discuss how the two generic types of disorder, the structural one (typical for percolation) and the energetic one (typical for trap models) appear within the general picture, and how the corresponding situations can be distinguished. We discuss practical methods for disentangling the influences of structural and energetic disorder in pure cases and for anomalous diffusion of the mixed origins.

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