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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 3, Pages 479–496
DOI: https://doi.org/10.4213/tmf9616 (Mi tmf9616) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Energy characteristics of the anomalous diffusion process

N. S. Arkashovab, V. A. Selezneva

a Novosibirsk State Technical University, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (459 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf9616
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.
Keywords: anomalous diffusion, stationary process, Hausdorff measure, energy transfer, momentum transfer, Compton effect.
Received: 09.08.2018
Revised: 04.12.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 3, Pages 894–908
DOI: https://doi.org/10.1134/S0040577919060096
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. S. Arkashov, V. A. Seleznev, “Energy characteristics of the anomalous diffusion process”, TMF, 199:3 (2019), 479–496; Theoret. and Math. Phys., 199:3 (2019), 894–908
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9616
  • https://doi.org/10.4213/tmf9616
  • https://www.mathnet.ru/eng/tmf/v199/i3/p479
    • This publication is cited in the following 1 articles:
    1. N. S. Arkashov, V. A. Seleznev, “Geometric model of the formation of superdiffusion processes”, Theoret. and Math. Phys., 210:3 (2022), 376–385  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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