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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 41, Number 3, Pages 406–417 (Mi tmf3077)  
This article is cited in 1 scientific paper (total in 1 paper)

Coarse-grain description of the distribution of solutions of the Langevin equation

Yu. P. Virchenko, N. V. Laskin
Full-text PDF (1427 kB) Citations (1)
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Abstract: The phenomenological Langevin equation for a Brownian particle with a random force having exponentially fast correlation weakening is considered. It is shown that at times much longer than the time of correlation dampening of the random force the momentum distribution function $f(p,t)$ of the Brownian particle can be approximated in the weak sense with exponential accuracy by a coarse-grain distribution function satisfying a self-consistent evolution equation.
Received: 10.08.1978
English version:
Theoretical and Mathematical Physics, 1979, Volume 41, Issue 3, Pages 1104–1111
DOI: https://doi.org/10.1007/BF01019382
Bibliographic databases:
Language: Russian
Citation: Yu. P. Virchenko, N. V. Laskin, “Coarse-grain description of the distribution of solutions of the Langevin equation”, TMF, 41:3 (1979), 406–417; Theoret. and Math. Phys., 41:3 (1979), 1104–1111
Citation in format AMSBIB
\Bibitem{VirLas79}
\by Yu.~P.~Virchenko, N.~V.~Laskin
\paper Coarse-grain description of the distribution of solutions of the Langevin equation
\jour TMF
\yr 1979
\vol 41
\issue 3
\pages 406--417
\mathnet{http://mi.mathnet.ru/tmf3077}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=566308}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 41
\issue 3
\pages 1104--1111
\crossref{https://doi.org/10.1007/BF01019382}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JV61100011}
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  • https://www.mathnet.ru/eng/tmf3077
  • https://www.mathnet.ru/eng/tmf/v41/i3/p406
    • This publication is cited in the following 1 articles:
    1. T. M. Pham, Yu. P. Virchenko, “Exhaustive study of the noise-induced phase transition in a stochastic model of self-catalyzed reactions”, Theoret. and Math. Phys., 188:2 (2016), 1236–1252  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:442
    Full-text PDF :202
    References:65
    First page:1
     
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