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Magnetohydrodynamics In The Context Of Nelson's Stochastic Mechanics

2007/10/25 by Dimitri Volchenkov, D. Volchenkov, R. Lima +3
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Classical Physics (physics.class-ph) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Dynamics and Fractals #Plasma Physics (physics.plasm-ph) #Theoretical and Computational Physics #physics.class-ph #physics.plasm-ph

paper · pdf · doi:10.48550/arxiv.0710.4744

27 pages, 6 figures

arxiv created 2007/10/25 · openalex publication_date 2007/10/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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