Semidispersive wave systems

Alan C. Newell; P. J. Aucoin

doi:10.1017/S0022112071002271

Semidispersive wave systems

Alan C. Newell, P. J. Aucoin

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Abstract

The statistical initial-value problem for a class of weakly coupled waves whose linear dispersion relation is Ω ∞ ± |k| is examined. It is found that in two and higher dimensions a natural asymptotic closure is possible. The redistribution of energy is achieved by means of two mechanisms; the first by a resonance between collinear wave vectors; the second by a local transfer between adjacent rays. The entropy functional is ∫ log n(k) dk and corresponds to particles obeying Bose–Einstein statistics.

Original language	English (US)
Pages (from-to)	593-609
Number of pages	17
Journal	Journal of Fluid Mechanics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1017/S0022112071002271
State	Published - Oct 15 1971

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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AB - The statistical initial-value problem for a class of weakly coupled waves whose linear dispersion relation is Ω ∞ ± |k| is examined. It is found that in two and higher dimensions a natural asymptotic closure is possible. The redistribution of energy is achieved by means of two mechanisms; the first by a resonance between collinear wave vectors; the second by a local transfer between adjacent rays. The entropy functional is ∫ log n(k) dk and corresponds to particles obeying Bose–Einstein statistics.

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Semidispersive wave systems

Abstract

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