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A simple generalization of the MHD model accounting for the fluctuations ofthe configurations due to kinetic effects in plasmas in short times smallscales is considered. The velocity of conductive fluid and the magnetic fieldare considerd as the stochastic fields (or random trial trajectories) for whichthe classical MHD equations play the role of the mean field equations in thespirit of stochastic mechanics of E. Nelson.

Magnetohydrodynamics In The Context Of Nelson's Stochastic Mechanics