Nonlocal Effects and Diffusion Equations

  • Oleg G. Bakunin
Part of the Springer Series in Synergetics book series (SSSYN)


Diffusion Equation Fractional Derivative Anomalous Diffusion Fourier Representation Nonlocal Effect 
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Further Reading

Anomalous Diffusion

  1. Ben-Avraham, D. and Havlin, S. (1996). Diffusion and Reactions in Fractals and Disordered Systems. Cambridge University Press, Cambridge, UK.Google Scholar
  2. Bouchaud, G.P. and Georges A. (1990). Physics Reports, 195, 132–292.CrossRefADSMathSciNetGoogle Scholar
  3. Haus J.W. and Kehr, K.W. (1987). Physics Reports, 150, 263..CrossRefADSGoogle Scholar
  4. Metzler, R. and Klafter, J. (2000). Physics Reports, 339, 1.zbMATHCrossRefADSMathSciNetGoogle Scholar
  5. Montroll, E.W. and Shlesinger, M. F. (1984). On the wonderful world of random walks, in Studies in Statistical Mechanics 11, 1. Elsevier, Amsterdam.Google Scholar
  6. Montroll, E.W. and West, B.J. (1979). On an enriched collection of stochastic processes, in Fluctuation Phenomena. Elsevier, Amsterdam.Google Scholar
  7. Shiesinger, M.F. and Zaslavsky, G.M. (1995). Levy Flights and Related Topics in Physics. Springer-Verlag, Berlin..CrossRefGoogle Scholar

Fractional Differential Equations

  1. Sornette, D. (2006). Critical Phenomena in Natural Sciences. Springer-Verlag, Berlin.zbMATHGoogle Scholar
  2. Uchaikin V. (2003). Physics-Uspekhi, 173, 765.Google Scholar
  3. West, B.J., Bologna, M., and Grigolini, P. (2003). Physics of Fractal Operators. Springer-Verlag, New York.Google Scholar
  4. Zumofen, G., Klafter, J., and Shlesinger, M.F. (1997). Physics Reports, 290, 157.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Oleg G. Bakunin
    • 1
  1. 1.Kurchatov Institute Nuclear Fusion InstituteRussia

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