This article is cited in 2 papers

Geometric model of the formation of superdiffusion processes

N. S. Arkashov, V. A. Seleznev

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: 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.

Keywords: superdiffusion, background medium, stationary process, Hausdorff measure, transfer of energy and momentum, quasiparticles, Compton scattering.

Received: 15.08.2021
Revised: 16.11.2021

DOI: 10.4213/tmf10160

 English version: Theoretical and Mathematical Physics, 2022, 210:3, 376–385

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