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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf9616https://doi.org/10.4213/tmf9616 https://www.mathnet.ru/eng/tmf/v199/i3/p479
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