Anomalous Diffusion: From Basics to Applications

This collection of articles gives a nice overview of the fast growing field of diffusion and transport. The area of non-Browman statistical mechanics has many extensions into other fields like biology, ecology, geophysics etc. These tutorial lectures address e.g. Lévy flights and walks, diffusion on metal surfaces or in superconductors, classical diffusion, biased and anomalous diffusion, chemical reaction diffusion, aging in glassy systems, diffusion in soft matter and in nonsymmetric potentials, and also new problems like diffusive processes in econophysics and in biology.
TOC: Coherent Spatio-Temporal Coupling in Fractional Wanderings. Renewed Approach to Continuous-Time Lévy Flights.- Lévy Flights and Lévy Walks Revisited.-Mean First-Passage Times and Hopping Mobility of Particles Under Bias in Nonsymmetric Potentials.-Coherent Quasi-elastic Neutron Scattering from Lattice Gases and Its Relationship to Fick's Law of Diffusion.-Random Flights with Quenched Noise Amplitudes.-On Fractional Diffusion and Its Relation with Continuous Time Random Walks.-Anomalous Diffusion in Disordered Lattices: Effect of Bias.-Aspects of the Noisy Burgers Equation.-Anomalous Diffusion of Polymers in Supercooled Melts Near the Glass Transition.-Intermittent Dynamics and Aging in Glassy Systems.-Macroscopic Finite Size Effects in Relaxational Processes.-Diagnosis using Photon Diffusion: From Brain Oxygenation to the Fat of the Atlantic Salmon.-Stochastic Modelling of Ion Diffusion in Complex Systems.-Dispersion in Freely Decaying and Forced 2D Turbulence.- And much more ...