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Teoreticheskaya i Matematicheskaya Fizika, 1989, Volume 78, Number 3, Pages 368–383 (Mi tmf4792)  

This article is cited in 9 scientific papers (total in 9 papers)

Quantum field renormalization group in the theory of stochastic Langmuir turbulence

L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, Yu. M. Pis'mak

Leningrad State University
References:
Abstract: Quantum field theory renormalization group is used for analysing the Langmuir stochastic turbulence of plasma described by the Zakharov equations [1] with random noises. Existence of the dissipative scaling critical regime is proved, for which all the critical exponents are nontrivial and are calculated in the framework of the $4-\varepsilon$ expansion up to $\varepsilon^2$. An explicit expression is obtained for the scaling asymptotics of the longitudinal dielectric permeability $\varepsilon_\parallel(\omega,k)$ in the neighbourhood of a “critical point” $\varepsilon_\parallel(\omega_e,0)=0$ ($\omega_e$ is the Langmuir frequency). The expression implies, in particular, that the usual dispersion law of the Langmuir waves $\omega-\omega_l\sim k^2$ is substitutted for small $k$ by the law $\omega-\omega_l\sim k^{2-\gamma_a}$ in which the exponent $\gamma_a$ is known up to $\varepsilon^2$.
Received: 03.08.1987
English version:
Theoretical and Mathematical Physics, 1989, Volume 78, Issue 3, Pages 260–271
DOI: https://doi.org/10.1007/BF01017663
Bibliographic databases:
Language: Russian
Citation: L. Ts. Adzhemyan, A. N. Vasil'ev, M. Gnatich, Yu. M. Pis'mak, “Quantum field renormalization group in the theory of stochastic Langmuir turbulence”, TMF, 78:3 (1989), 368–383; Theoret. and Math. Phys., 78:3 (1989), 260–271
Citation in format AMSBIB
\Bibitem{AdzVasGna89}
\by L.~Ts.~Adzhemyan, A.~N.~Vasil'ev, M.~Gnatich, Yu.~M.~Pis'mak
\paper Quantum field renormalization group in~the theory of~stochastic Langmuir turbulence
\jour TMF
\yr 1989
\vol 78
\issue 3
\pages 368--383
\mathnet{http://mi.mathnet.ru/tmf4792}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=996222}
\transl
\jour Theoret. and Math. Phys.
\yr 1989
\vol 78
\issue 3
\pages 260--271
\crossref{https://doi.org/10.1007/BF01017663}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989AU78400006}
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  • https://www.mathnet.ru/eng/tmf/v78/i3/p368
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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