Geometric model of the formation of superdiffusion processes

We construct a dynamical model of the deformation of a classical diffusion process into superdiffusion implementing the interaction between the diffusion background medium and the external medium. We show how the transformation law of energy characteristics of this deformation is formed gradually.

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Bibliographic Details
Published in:	Theoretical and mathematical physics Vol. 210; no. 3; pp. 376 - 385
Main Authors:	Arkashov, N. S., Seleznev, V. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-03-2022 Springer Nature B.V
Subjects:	14/34 639/766/189 639/766/530 639/766/747 Applications of Mathematics Dynamic models Mathematical and Computational Physics Physics Physics and Astronomy Theoretical Hausdorff measure stationary process superdiffusion Compton scattering background medium quasiparticles transfer of energy and momentum
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Description
Summary:	We construct a dynamical model of the deformation of a classical diffusion process into superdiffusion implementing the interaction between the diffusion background medium and the external medium. We show how the transformation law of energy characteristics of this deformation is formed gradually.
ISSN:	0040-5779 1573-9333
DOI:	10.1134/S0040577922030084