Kolmogorov spectra in one-dimensional weak turbulence

V. E. Zakharov; O. A. Vasilyev; A. I. Dyachenko

doi:10.1134/1.1358420

Kolmogorov spectra in one-dimensional weak turbulence

V. E. Zakharov, O. A. Vasilyev, A. I. Dyachenko

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this article, we report the results of our numerical simulation of a one-dimensional modified MMT model, which includes the processes of "one-to-three" wave interactions. We show that this model, with properly chosen parameters, behaves according to the weak-turbulence theory. In particular, it demonstrates the validity of the Kolmogorov spectrum over a wide range of wave numbers.

Original language	English (US)
Pages (from-to)	63-65
Number of pages	3
Journal	JETP Letters
Volume	73
Issue number	2
DOIs	https://doi.org/10.1134/1.1358420
State	Published - Jan 25 2001

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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title = "Kolmogorov spectra in one-dimensional weak turbulence",

abstract = "In this article, we report the results of our numerical simulation of a one-dimensional modified MMT model, which includes the processes of {"}one-to-three{"} wave interactions. We show that this model, with properly chosen parameters, behaves according to the weak-turbulence theory. In particular, it demonstrates the validity of the Kolmogorov spectrum over a wide range of wave numbers.",

author = "Zakharov, {V. E.} and Vasilyev, {O. A.} and Dyachenko, {A. I.}",

note = "Funding Information: We are grateful to E.A. Kuznetsov for useful discussion. This work was supported in part by the ONR (grant no. 00014-98-1-0070), RBRF (grant no. 00-01-00929), and by the Grant of Leading Scientific Schools of Russia no. 00-15-96-007. O. Vasilyev acknowledges the Landau Scholarship Committee (Forshungzen-trum/KFA, J{\"u}lich) for financial support.",

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T1 - Kolmogorov spectra in one-dimensional weak turbulence

AU - Zakharov, V. E.

AU - Vasilyev, O. A.

AU - Dyachenko, A. I.

N1 - Funding Information: We are grateful to E.A. Kuznetsov for useful discussion. This work was supported in part by the ONR (grant no. 00014-98-1-0070), RBRF (grant no. 00-01-00929), and by the Grant of Leading Scientific Schools of Russia no. 00-15-96-007. O. Vasilyev acknowledges the Landau Scholarship Committee (Forshungzen-trum/KFA, Jülich) for financial support.

PY - 2001/1/25

Y1 - 2001/1/25

N2 - In this article, we report the results of our numerical simulation of a one-dimensional modified MMT model, which includes the processes of "one-to-three" wave interactions. We show that this model, with properly chosen parameters, behaves according to the weak-turbulence theory. In particular, it demonstrates the validity of the Kolmogorov spectrum over a wide range of wave numbers.

AB - In this article, we report the results of our numerical simulation of a one-dimensional modified MMT model, which includes the processes of "one-to-three" wave interactions. We show that this model, with properly chosen parameters, behaves according to the weak-turbulence theory. In particular, it demonstrates the validity of the Kolmogorov spectrum over a wide range of wave numbers.

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JO - JETP Letters

JF - JETP Letters

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Kolmogorov spectra in one-dimensional weak turbulence

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