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آبشار معکوس
All this is to set the stage for a major contribution made by Kraichnan in 1967, his theory of inverse cascade for two-dimensional (2D) turbulence.
If there is no minimum wavenumber k0, Kraichnan concluded that an inverse cascade should proceed for ever to smaller and smaller wavenumbers which, on dimen- sional grounds, scale as a e-1/2t-3/2, where t is the time elapsed.
Kraichnan concluded that the 2D inverse cascade -5/3 range is local just as is the 3D direct cas- cade -5/3 range of Kolmogorov.
The second idea is that there may be constant flux spec- tral ranges that correspond to an inverse cascade, from small to large scales.
Shortly afterward, however, Zakharov hit upon the idea that the second power- law range corresponds to an inverse cascade of wave action or "quasi-particle number".
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