Energy Characteristics of the Anomalous Diffusion Process

N. S. Arkashov; V. A. Seleznev

doi:10.1134/S0040577919060096

Energy Characteristics of the Anomalous Diffusion Process

N. S. Arkashov, V. A. Seleznev

Higher Mathematics Section

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	894-908
Number of pages	15
Journal	Theoretical and Mathematical Physics(Russian Federation)
Volume	199
Issue number	3
DOIs	https://doi.org/10.1134/S0040577919060096
Publication status	Published - 1 Jun 2019

Keywords

anomalous diffusion
Compton effect
energy transfer
Hausdorff measure
momentum transfer
stationary process

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10.1134/S0040577919060096

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title = "Energy Characteristics of the Anomalous Diffusion Process",

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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AU - Seleznev, V. A.

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N2 - 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.

AB - 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.

KW - anomalous diffusion

KW - Compton effect

KW - energy transfer

KW - Hausdorff measure

KW - momentum transfer

KW - stationary process

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M3 - Article

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JO - Theoretical and Mathematical Physics(Russian Federation)

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SN - 0040-5779

IS - 3

ER -

Energy Characteristics of the Anomalous Diffusion Process

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Keywords

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