Calculation of the SDE-contribution of the dissipation operator to the energy spectrum of developed turbulence
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 36-42
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The nonanalytic correction to the energy spectrum of the developed turbulence in the one-loop approximation of $\varepsilon$-expansion is calculated. It has the form $u^4\ln u$ ($u\equiv kL$, $L$ is the external scale of the turbulence), which is in agreement with Wilson's short distance expansion prediction. The amplitude of the contribution of the dissipation operator to the energy spectrum is determined. Bibliography: 7 titles.
@article{ZNSL_1995_224_a3,
author = {L. V. Adzhemyan and L. Ts. Adzhemyan},
title = {Calculation of the {SDE-contribution} of the dissipation operator to the energy spectrum of developed turbulence},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {36--42},
year = {1995},
volume = {224},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a3/}
}
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%0 Journal Article %A L. V. Adzhemyan %A L. Ts. Adzhemyan %T Calculation of the SDE-contribution of the dissipation operator to the energy spectrum of developed turbulence %J Zapiski Nauchnykh Seminarov POMI %D 1995 %P 36-42 %V 224 %U http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a3/ %G ru %F ZNSL_1995_224_a3
L. V. Adzhemyan; L. Ts. Adzhemyan. Calculation of the SDE-contribution of the dissipation operator to the energy spectrum of developed turbulence. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 36-42. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a3/