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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 80, Issue 6, Pages 464–467 (Mi jetpl2123)  

This article is cited in 20 scientific papers (total in 20 papers)

CONDENSED MATTER

Impurity transport in percolation media

A. M. Dykhne, P. S. Kondratenko, L. V. Matveev

Nuclear Safety Institute, RAS
References:
Abstract: An equation describing the impurity transport in a percolation medium is obtained and the inferences drawn from this equation are analyzed based on the scale invariance concept. A determining part in this analysis is allowance for the sinks inherent in such media. At distances shorter than the correlation length, the particles are transferred in the regime of subdiffusion; at large distances, the concentration asymptotics exhibits a characteristic “tail” shape. In the medium occurring in the state above the percolation threshold, the impurity transport over time periods longer than the characteristic time related to the correlation length is well described by the classical equation with a renormalized diffusion coefficient. In this case, the concentration tail has a Gaussian shape at moderate distances and tends to subdiffusion asymptotics at very long distances. A relation is established between the factor determining renormalization of the diffusion coefficient and the factor determining a decrease in the number of active impurity particles at large times.
Received: 30.07.2004
English version:
Journal of Experimental and Theoretical Physics Letters, 2004, Volume 80, Issue 6, Pages 410–412
DOI: https://doi.org/10.1134/1.1830658
Bibliographic databases:
Document Type: Article
PACS: 05.40.-a, 05.45.Df, 05.60.Cd
Language: Russian
Citation: A. M. Dykhne, P. S. Kondratenko, L. V. Matveev, “Impurity transport in percolation media”, Pis'ma v Zh. Èksper. Teoret. Fiz., 80:6 (2004), 464–467; JETP Letters, 80:6 (2004), 410–412
Citation in format AMSBIB
\Bibitem{DykKonMat04}
\by A.~M.~Dykhne, P.~S.~Kondratenko, L.~V.~Matveev
\paper Impurity transport in percolation media
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2004
\vol 80
\issue 6
\pages 464--467
\mathnet{http://mi.mathnet.ru/jetpl2123}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004JETPL..80..410D}
\transl
\jour JETP Letters
\yr 2004
\vol 80
\issue 6
\pages 410--412
\crossref{https://doi.org/10.1134/1.1830658}
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  • https://www.mathnet.ru/eng/jetpl/v80/i6/p464
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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