Fractional Kinetics in Solids

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  • Fractional Kinetics in Solids Book Detail

  • Author : Vladimir Uchaikin
  • Release Date : 2013
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 274
  • ISBN 13 : 9814355437
  • File Size : 91,91 MB

Fractional Kinetics in Solids by Vladimir Uchaikin PDF Summary

Book Description: In this book, a novel approach using equations with derivatives of fractional orders is applied to describe anomalous transport and relaxation in disordered semiconductors, dielectrics and quantum dot systems. A relationship between the self-similarity of transport, the Levy stable limiting distributions and the kinetic equations with fractional derivatives is established. It is shown that unlike the well-known Scher-Montroll and Arkhipov-Rudenko models, which are in a sense alternatives to the normal transport model, fractional differential equations provide a unified mathematical framework for describing normal and dispersive transport. The fractional differential formalism allows the equations of bipolar transport to be written down and transport in distributed dispersion systems to be described.

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