2008/06/28 by Robert W. Johnson, Johnson, Robert W.
Physics and Astronomy · #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Space Physics (physics.space-ph) #physics.plasm-ph #physics.space-ph
paper · pdf · doi:10.48550/arxiv.0806.4694
13 pages, 2 figures, presents solution for infinite plasma column
arxiv created 2008/12/12 · arxiv updated 2009/12/01
The resistive magnetohydrodynamic (MHD) equations as usually defined in the quasineutral approximation refer to a system of 14 scalar equations in 14 scalar variables, hence are determined to be complete and soluble. These equations are a combination of Navier-Stokes and a subset of Maxwell's. However, one of the vector equations is actually an identity when viewed from the potential formulation of electrodynamics, hence does not determine any degrees of freedom. Only by reinstating Gauss's law does the system of equations become closed, allowing for the determination of both the current and mass flow velocity from the equations of motion. Results of a typical analysis of the proposed electromagnetic hydrodynamic model including the magnetization force are presented.