Growth of density inhomogeneities in a flow of wave turbulence

A. M. Balk; G. Falkovich; M. G. Stepanov

doi:10.1103/PhysRevLett.92.244504

Growth of density inhomogeneities in a flow of wave turbulence

A. M. Balk, G. Falkovich, M. G. Stepanov

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19 Scopus citations

Abstract

The growth of density inhomogeneities was investigated in a flow of wave turbulence. The conditions for a nonzero sum of the Lyapunov exponents was found which provides for an exponential growth of density inhomogeneities. The leading order contribution came from the pair of waves having coinciding frequencies but producing different stokes drifts. It was observed that nonzero Lyapunov exponents appear in two and three dimensions both for potential and solenoidal waves.

Original language	English (US)
Article number	244504
Pages (from-to)	244504-1-244504-4
Journal	Physical review letters
Volume	92
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.92.244504
State	Published - Jun 18 2004
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.92.244504

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title = "Growth of density inhomogeneities in a flow of wave turbulence",

abstract = "The growth of density inhomogeneities was investigated in a flow of wave turbulence. The conditions for a nonzero sum of the Lyapunov exponents was found which provides for an exponential growth of density inhomogeneities. The leading order contribution came from the pair of waves having coinciding frequencies but producing different stokes drifts. It was observed that nonzero Lyapunov exponents appear in two and three dimensions both for potential and solenoidal waves.",

author = "Balk, {A. M.} and G. Falkovich and Stepanov, {M. G.}",

note = "Funding Information: This work was supported by the NSF under Agreements No. DMS-9729992 and No. DMS-9971640, by the Ellentuck fund at the Institute for Advanced Study, and by the Minerva foundation at the Weizmann Institute of Science. We are grateful to the staff of the School of Mathematics at the Institute for Advanced Study for warm hospitality.",

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T1 - Growth of density inhomogeneities in a flow of wave turbulence

AU - Balk, A. M.

AU - Falkovich, G.

AU - Stepanov, M. G.

N1 - Funding Information: This work was supported by the NSF under Agreements No. DMS-9729992 and No. DMS-9971640, by the Ellentuck fund at the Institute for Advanced Study, and by the Minerva foundation at the Weizmann Institute of Science. We are grateful to the staff of the School of Mathematics at the Institute for Advanced Study for warm hospitality.

PY - 2004/6/18

Y1 - 2004/6/18

N2 - The growth of density inhomogeneities was investigated in a flow of wave turbulence. The conditions for a nonzero sum of the Lyapunov exponents was found which provides for an exponential growth of density inhomogeneities. The leading order contribution came from the pair of waves having coinciding frequencies but producing different stokes drifts. It was observed that nonzero Lyapunov exponents appear in two and three dimensions both for potential and solenoidal waves.

AB - The growth of density inhomogeneities was investigated in a flow of wave turbulence. The conditions for a nonzero sum of the Lyapunov exponents was found which provides for an exponential growth of density inhomogeneities. The leading order contribution came from the pair of waves having coinciding frequencies but producing different stokes drifts. It was observed that nonzero Lyapunov exponents appear in two and three dimensions both for potential and solenoidal waves.

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Growth of density inhomogeneities in a flow of wave turbulence

Abstract

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