Fractional dynamics : recent advances

著者

書誌事項

Fractional dynamics : recent advances

Joseph Klafter, S.C. Lim & Ralf Metzler, editors

World Scientific, c2012

  • :hbk

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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 important contributions to their respective topics. This volume is the first of its kind that covers such a comprehensive range of topics in fractional dynamics. It will point out to advanced undergraduate and graduate students, and young researchers the possible directions of research in this subject.In addition to those who intend to work in this field and those already in the field, this volume will also be useful for researchers not directly involved in the field, but want to know the current status and trends of development in this subject. This latter group includes theoretical chemists, mathematical biologists and engineers.

目次

  • Ageing and Weak Ergodicity Breaking (E Barkai)
  • Subdiffusion Reaction Processes (I Sokolov)
  • Mathematics of Fractional Diffusion (R Gorenflo & F Mainardi)
  • Fractional Dynamics of Open Quantum Systems (V E Tarasov)
  • Fractional Quantum Field and Casimir Efffect (S C Lim & L P Teo)
  • Aspects of Levy Flights: Confinement and Escape (A Chechkin)
  • Fractional Material Derivative and Conditional CTRW (M Meerschaert)
  • Subordination and Random Walks (A Weron & M Magdziarz)
  • Bifractional Diffusion Processes (B Dybiec & E Gudowska)
  • Plasma Physics and Fractional Diffusion (D Del Castillo-Negrete)
  • Time Dependent Fields in Subdiffusion (I Goychuk & P Haenggi)
  • Langevin Formulation of Fractional Fokker-Planck Equations (R Friedrich)
  • Trapping and Subdiffusion (K Lindenberg)
  • Fractional Langevin Equations (E Lutz)
  • Fractional Diffusion Advection (B Baeumer)
  • Fractional Dynamics and Financial Markets (E Scalas)
  • Principles of Fractional Quantum Mechanics (N Laskin)
  • Fractional Quantum Dynamics on Comb (A Iomin).

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