Mesoscopic wave turbulence

V. E. Zakharov; A. O. Korotkevich; A. N. Pushkarev; A. I. Dyachenko

doi:10.1134/1.2150867

Mesoscopic wave turbulence

V. E. Zakharov, A. O. Korotkevich, A. N. Pushkarev, A. I. Dyachenko

Mathematics

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68 Scopus citations

Abstract

We report results of simulation of wave turbulence. Both inverse and direct cascades are observed. The definition of "mesoscopic turbulence" is given. This is a regime when the number of modes in a system involved in turbulence is high enough to qualitatively simulate most of the processes but significantly smaller than the threshold, which gives us quantitative agreement with the statistical description, such as the kinetic equation. Such a regime takes place in numerical simulation, in essentially finite systems, etc.

Original language	English (US)
Pages (from-to)	487-491
Number of pages	5
Journal	JETP Letters
Volume	82
Issue number	8
DOIs	https://doi.org/10.1134/1.2150867
State	Published - 2005

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1134/1.2150867

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title = "Mesoscopic wave turbulence",

abstract = "We report results of simulation of wave turbulence. Both inverse and direct cascades are observed. The definition of {"}mesoscopic turbulence{"} is given. This is a regime when the number of modes in a system involved in turbulence is high enough to qualitatively simulate most of the processes but significantly smaller than the threshold, which gives us quantitative agreement with the statistical description, such as the kinetic equation. Such a regime takes place in numerical simulation, in essentially finite systems, etc.",

author = "Zakharov, {V. E.} and Korotkevich, {A. O.} and Pushkarev, {A. N.} and Dyachenko, {A. I.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research (project no. 03-01-00289), the program “Nonlinear Dynamics and Solitons” of the Presidium of the Russian Academy of Sciences, the “Leading Scientific Schools of Russia” grant, the ONR (grant no. N00014-03-1-0648), the US Army Corps of Engineers, the RDT & E Program no. W912HZ-04-P-0172, and by the DACA (grant no. 42-00-C0044). We use this opportunity to gratefully acknowledge the support of these foundations.",

year = "2005",

doi = "10.1134/1.2150867",

language = "English (US)",

volume = "82",

pages = "487--491",

journal = "JETP Letters",

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TY - JOUR

T1 - Mesoscopic wave turbulence

AU - Zakharov, V. E.

AU - Korotkevich, A. O.

AU - Pushkarev, A. N.

AU - Dyachenko, A. I.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research (project no. 03-01-00289), the program “Nonlinear Dynamics and Solitons” of the Presidium of the Russian Academy of Sciences, the “Leading Scientific Schools of Russia” grant, the ONR (grant no. N00014-03-1-0648), the US Army Corps of Engineers, the RDT & E Program no. W912HZ-04-P-0172, and by the DACA (grant no. 42-00-C0044). We use this opportunity to gratefully acknowledge the support of these foundations.

PY - 2005

Y1 - 2005

N2 - We report results of simulation of wave turbulence. Both inverse and direct cascades are observed. The definition of "mesoscopic turbulence" is given. This is a regime when the number of modes in a system involved in turbulence is high enough to qualitatively simulate most of the processes but significantly smaller than the threshold, which gives us quantitative agreement with the statistical description, such as the kinetic equation. Such a regime takes place in numerical simulation, in essentially finite systems, etc.

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Mesoscopic wave turbulence

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