Fractional phenomenology of cosmic ray anomalous diffusion

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.

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/
Web of Science

000331111800002
Scopus

2-s2.0-84893828285
ADS NASA

2013PhyU...56.1074U
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, accepted: 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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