Dispersive stabilization of the inverse cascade for the Kolmogorov flow

Details Dispersive stabilization of the inverse cascade for the Kolmogorov flow Dispersive stabilization of the inverse cascade for the Kolmogorov flow

1998-12-10

arxiv.org/abs/cond-mat/9812177v3

Phys. Rev. Lett., 82 (1999) 4440

Physics

Condensed Matter

Statistical Mechanics

4 pages, LATEX, 3 figures. v3: revised version with minor corrections

Scientific paper

10.1103/PhysRevLett.82.4440

It is shown by perturbation techniques and numerical simulations that the inverse cascade of kink-antikink annihilations, characteristic of the Kolmogorov flow in the slightly supercritical Reynolds number regime, is halted by the dispersive action of Rossby waves in the beta-plane approximation. For beta tending to zero, the largest excited scale is proportional to the logarithm of one over beta and differs strongly from what is predicted by standard dimensional phenomenology which ignores depletion of nonlinearity.

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