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Anomalous Diffusion

From Basics to Applications

  • Conference proceedings
  • © 1999

Overview

Editors:
  1. Andrzej Pękalski
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  2. Katarzyna Sznajd-Weron
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  • Good and pedagogically presented overview over the very active field of diffusion processes in physics, biology, ecology et al.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 519)

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Table of contents (29 papers)

  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
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About this book

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.

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