Turbulent Diffusion in Phase Space

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Abstract
We formulate a new theory of plasma turbulence which begins by viewing particle diffusion in phase space as a Weiner process. We construct the turbulent particle propagator from physical arguments and find a general expression for the turbulent diffusion coefficient and dielectric function. Earlier results of Dupree and others are extended and clarified. The method readily applies to turbulent problems with boundary conditions on the particle distribution.