A Gaussian Solution for Drift Wave Turbulence and for Rossby Wave Turbulence

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  • Gaussian Solution for Drift Wave Turbul

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An exact Gaussian solution is obtained for the probability distribution of a turbulent field given by a nonlinear differential equation, which governs electrostatic potential for the drift wave in a pseudo-three dimensional plasma and depth of the air for the Rossby wave turbulence in the atmospheric pressure system. In the weakly turbulent case, it is obtained that the two-time correlation function of the solution shows the exponential decay. Anisotropy of the solution does not appear in the one-time correlation function but appears in the two-time correlation function.

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