Anomalous Diffusion

1. Front Matter

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2. Coherent spatio-temporal coupling in fractional wanderings. Renewed approach to continuous-time Lévy flights

   • R. Kutner

   Pages 1-14

3. Lévy flights and Lévy walks revisited

   • G. Zumofen, J. Klafter, M. F. Shlesinger

   Pages 15-34

4. Mean first-passage times and hopping mobility of particles under bias in nonsymmetric potentials

   • K. W. Kehr, K. Mussawisade, T. Wichmann

   Pages 35-44

5. Coherent quasi-elastic neutron scattering from lattice gases and its relationship to fick’s law of diffusion

   • D. K. Ross, M. Kemali, D. J. Bull

   Pages 45-60

6. Random flights with quenched noise amplitudes

   • R. Kutner, P. Maass

   Pages 61-76

7. On fractional diffusion and its relation with continuous time random walks

   • R. Hilfer

   Pages 77-82

8. Anomalous diffusion in disordered lattices: Effect of bias

   • E. Arapaki, P. Argyrakis, I. Avramov, A. Milchev

   Pages 83-100

9. Aspects of the noisy burgers equation

   • H. Fogedby

   Pages 101-123

10. Anomalous diffusion of polymers in supercooled melts near the glass transition

    • K. Binder, Ch. Bennemann, J. Baschnagel, W. Paul

    Pages 124-139

11. Intermittent dynamics and aging in glassy systems

    • J. P. Bouchaud

    Pages 140-150

12. Macroscopic finite size effects in relaxational processes

    • S. Havlin, A. Bunde, J. Klafter

    Pages 151-159

13. Diagnosis using photon diffusion: From brain oxygenation to the fat of the atlantic salmon

    • H. Taitelbaum

    Pages 160-174

14. Stochastic modelling of ion diffusion in complex systems

    • W. Dieterich, O. Dürr, P. Pendzig, A. Nitzan

    Pages 175-185

15. Dispersion in freely decaying and forced 2D turbulence

    • A. E. Hansen, M. C. Jullien, J. Paret, P. Tabeling

    Pages 186-196

16. Fluctuations and their correlations in econophysics

    • Y. Liu, L. A. N. Amaral, P. Cizeau, P. Gopikrishnan, M. Meyer, C.-K. Peng et al.

    Pages 197-210

17. Fronts and pattern formation in reaction-diffusion systems

    • M. Droz

    Pages 211-220

18. Entanglement effects in model polymer networks

    • R. Everaers, K. Kremer

    Pages 221-234

19. Models of cooperative diffusion

    • J. Jäckle

    Pages 235-246

20. Hydrogen diffusion in proton conducting oxides and in nanocrystalline metals

    • R. Hempelmann

    Pages 247-252

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.

• Potential
• complex system
• crystal
• diffusion
• dispersion
• electron
• hydrogen
• kinetics
• mechanics
• neutron diffraction
• polymer
• scattering
• soft matter
• statistical mechanics
• turbulence

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