On the theory of the equilibrium range in the spectrum of wind-generated gravity waves.

Abstract

It is shown that an exact analogue of Kolmogoroff's spectrum in a random field of weakly nonlinear surface gravity waves gives a spectral force in qualitative agreement with recent observations. A 'transitional' range of wave numbers (frequencies) is indicated where deviation from Kolmogoroff's equilibrium is due to gravitational instability (wave breaking). Thus, an equilibrium force for the spectrum of the wind is suggested as having two asymptotic regimes: Kolmogoroff's and Phillip's type of equilibrium, with a relatively rapid transition from the first to the second. (from author's abstract)