Fractional dynamics : recent advances /

This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on their active and impor...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Klafter, J. (Joseph), Lim, S. C., 1947-, Metzler, Ralf
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2012.
Temas:
Fractional calculus.
Dynamics.
Diffusion > Mathematical models.
Dérivées fractionnaires.
Dynamique.
Diffusion (Physique) > Modèles mathématiques.
kinetics (dynamics)
SCIENCE > Physics > Quantum Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Anomalous diffusion and fractional transport equations / R. Metzler and J.-H. Jeon
  • 2. Stochastic diffusion and stable noise-induced phenomena / B. Dybiec and E. Gudowska-Nowak
  • 3. Characteristic times of anomalous diffusion in a potential / W.T. Coffey, Y.P. Kalmykov and S.V. Titov
  • 4. Reactions in subdiffusive media and associated fractional equations / S.B. Yuste, E. Abad and K. Lindenberg
  • 5. Natural and modified forms of distributed-order fractional diffusion equations / A. Chechkin, I.M. Sokolov and J. Klafter
  • 6. Anomalous transport in the presence of truncated Levy flights / D. del-Castillo-Negrete
  • 7. Anomalous diffusion: from fractional master equations to path integrals / R. Friedrich
  • 8. Fractional Feynman-Kac equation for anomalous diffusion functionals / S. Carmi and E. Barkai
  • 9. Foundations of fractional dynamics: a short account / R. Hilfer
  • 10. Parametric subordination in fractional diffusion processes / R. Gorenflo and F. Mainardi
  • 11. Fractional calculus, anomalous diffusion, and probability / M.M. Meerschaert
  • 12. Fractional Langevin equation / E. Lutz
  • 13. Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes / I. Goychuk and P. Hanggi
  • 14. Identification and validation of fractional subdiffusion dynamics / K. Burnecki, M. Magdziarz and A. Weron
  • 15. A class of CTRWs: compound fractional Poisson processes / E. Scalas
  • 16. Origin of allometry hypothesis / B.J. West and D. West
  • 17. Principles of fractional quantum mechanics / N. Laskin
  • 18. Two examples of fractional quantum dynamics / A. Iomin
  • 19. Fractional dynamics of open quantum systems / V.E. Tarasov
  • 20. Casimir effect associated with fractional Klein-Gordon field / S.C. Lim and L.P. Teo.

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