Uspekhi Fizicheskikh Nauk
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


UFN:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Uspekhi Fizicheskikh Nauk, 2013, Volume 183, Number 11, Pages 1175–1223
DOI: https://doi.org/10.3367/UFNr.0183.201311b.1175 (Mi ufn4551) 		 
This article is cited in 36 scientific papers (total in 36 papers)

REVIEWS OF TOPICAL PROBLEMS

Fractional phenomenology of cosmic ray anomalous diffusion

V. V. Uchaikin

Ul'yanovsk State University
Full-text PDF (1440 kB) Citations (36)
References:
PDF
HTML
DOI: https://doi.org/10.3367/UFNr.0183.201311b.1175
URL: https://www.ufn.ru/ru/articles/2013/11/b
Abstract: We review the 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. The mathematical and physical foundations of these models are discussed, as are their consequences, related problems, and prospects for further development.
Keywords: Fractional derivatives, fractional Laplacian, fractals, turbulence, percolation, plasma, stable distributions.
Received: December 3, 2012
Revised: April 12, 2013
Accepted: May 16, 2013
English version:
Physics–Uspekhi, 2013, Volume 56, Issue 11, Pages 1074–1119
DOI: https://doi.org/10.3367/UFNe.0183.201311b.1175
Bibliographic databases:
Document Type: Article
PACS: 02.50.-r, 05.40.-a, 98.70.Sa
MSC: 85-02
Language: Russian
Citation: V. V. Uchaikin, “Fractional phenomenology of cosmic ray anomalous diffusion”, UFN, 183:11 (2013), 1175–1223; Phys. Usp., 56:11 (2013), 1074–1119
Citation in format AMSBIB
\Bibitem{Uch13}
\by V.~V.~Uchaikin
\paper Fractional phenomenology of cosmic ray anomalous diffusion
\jour UFN
\yr 2013
\vol 183
\issue 11
\pages 1175--1223
\mathnet{http://mi.mathnet.ru/ufn4551}
\crossref{https://doi.org/10.3367/UFNr.0183.201311b.1175}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013PhyU...56.1074U}
\elib{https://elibrary.ru/item.asp?id=21057034}
\transl
\jour Phys. Usp.
\yr 2013
\vol 56
\issue 11
\pages 1074--1119
\crossref{https://doi.org/10.3367/UFNe.0183.201311b.1175}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000331111800002}
\elib{https://elibrary.ru/item.asp?id=21912233}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84893828285}
Linking options:
  • https://www.mathnet.ru/eng/ufn4551
  • https://www.mathnet.ru/eng/ufn/v183/i11/p1175
    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи физических наук Physics-Uspekhi
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025