New invariant for drift turbulence

A. M. Balk; S. V. Nazarenko; Vladimir E Zakharov

doi:10.1016/0375-9601(91)90105-H

New invariant for drift turbulence

A. M. Balk, S. V. Nazarenko, Vladimir E Zakharov

Research output: Contribution to journal › Article

32 Scopus citations

Abstract

A new invariant for drift wave (or Rossby wave) turbulence in two cases, (1) in zonal flow and (2) in the large scale range, is discovered. This invariant is proved to be a unique additional invariant (besides energy and momentum). Thus the first examples of wave systems with a finite number of additional invariants are obtained. A new Kolmogorov-type spectrum with the flux of the additional invariant through the scales is derived and the structure of fluxes in the k-space of invariants is analyzed.

Original language	English (US)
Pages (from-to)	276-280
Number of pages	5
Journal	Physics Letters A
Volume	152
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(91)90105-H
Publication status	Published - Jan 21 1991
Externally published	Yes

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ASJC Scopus subject areas

Physics and Astronomy(all)

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Balk, A. M., Nazarenko, S. V., & Zakharov, V. E. (1991). New invariant for drift turbulence. Physics Letters A, 152(5-6), 276-280. https://doi.org/10.1016/0375-9601(91)90105-H

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AU - Zakharov, Vladimir E

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AB - A new invariant for drift wave (or Rossby wave) turbulence in two cases, (1) in zonal flow and (2) in the large scale range, is discovered. This invariant is proved to be a unique additional invariant (besides energy and momentum). Thus the first examples of wave systems with a finite number of additional invariants are obtained. A new Kolmogorov-type spectrum with the flux of the additional invariant through the scales is derived and the structure of fluxes in the k-space of invariants is analyzed.

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10.1016/0375-9601(91)90105-H