Anomalous Diffusion From Basics to Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Pekalski, Andrzej (Editor, http://id.loc.gov/vocabulary/relators/edt), Sznajd-Weron, Katarzyna (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Edition: 1st ed. 1999.
• Series: Lecture Notes in Physics, 519
• Subjects: Gravitation.; Physics.; Condensed matter.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Methods in Physics.; Numerical and Computational Physics, Simulation.; Condensed Matter Physics.

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 o...

Table of Contents:

• 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
• Fluctuations and their correlations in econophysics
• Fronts and pattern formation in reaction-diffusion systems
• Entanglement effects in model polymer networks
• Models of cooperative diffusion
• Hydrogen diffusion in proton conducting oxides and in nanocrystalline metals
• Shape and selfsimilarity of diffusion-limited aggregation clusters
• Random walks, fractons, and electrons on percolation structures at criticality
• From microscopic kinetics to generalized allen-cahn equations. Application to adatoms and intercalation dynamics
• Diffusive and subdiffusive step dynamics
• Equilibrium versus non-equilibrium surface diffusion measurements
• Classical diffusion in presence of geometrical constraints and/or interactions
• Diffusion of adsorbed particles on surfaces with channeled atomic corrugation
• Instabilities and transport properties in sheared granular gases
• Avalanches of dry sand
• Anomalous diffusion: Summary.