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) |
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Pages (from-to) | 593-609 |
Number of pages | 17 |
Journal | Journal of Fluid Mechanics |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Oct 15 1971 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering