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Energy Characteristics of the Anomalous Diffusion Process

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Abstract

We consider an anomalous diffusion model in which space-time nonlocalities are generated by singular zones forming sub- and superdiffusion transfer regimes. The dynamical equation for these regimes appears in the form of the quasiparticle interaction law and is an analogue of the dynamical equation for the photon-electron interaction.

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References

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Acknowledgments

The authors are grateful to an anonymous referee for a series of valuable remarks, which allowed improving the paper significantly.

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Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk, Russia

    N. S. Arkashov & V. A. Seleznev

  2. Novosibirsk State University, Novosibirsk, Russia

    N. S. Arkashov

Authors
  1. N. S. Arkashov
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  2. V. A. Seleznev
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Corresponding author

Correspondence to N. S. Arkashov.

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 199, No. 3, pp. 479–496, June, 2019.

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Arkashov, N.S., Seleznev, V.A. Energy Characteristics of the Anomalous Diffusion Process. Theor Math Phys 199, 894–908 (2019). https://doi.org/10.1134/S0040577919060096

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  • DOI: https://doi.org/10.1134/S0040577919060096

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