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Fractional phenomenology of cosmic ray anomalous diffusion


Ul'yanovsk State University, ul. L. Tolstogo 42, Ulyanovsk, 432700, Russian Federation

Evolution of the cosmic ray diffusion concept from the ordinary (Einstein) model of Brownian motion to the fractional models that appeared in the last decade is reviewed. The mathematical and physical foundations of these models are discussed, as are their consequences, associated problems and prospects for further development.

Text can be downloaded in Russian. English translation is available here.
PACS: 02.50.−r, 05.40.−a, 98.70.Sa (all)
DOI: 10.3367/UFNe.0183.201311b.1175
URL: https://ufn.ru/en/articles/2013/11/b/
Citation: Uchaikin V V "Fractional phenomenology of cosmic ray anomalous diffusion" Phys. Usp. 56 1074–1119 (2013)
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Received: 3rd, December 2012, revised: 12th, April 2013, 16th, May 2013

Оригинал: Учайкин В В «Дробно-дифференциальная феноменология аномальной диффузии космических лучей» УФН 183 1175–1223 (2013); DOI: 10.3367/UFNr.0183.201311b.1175

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  3. Tawfik A M, Fichtner H et al Eur. Phys. J. Plus 133 (6) (2018)
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