astrophysical plasma plasma magnetohydrodynamics plasma transport processes Poisson equation 5230CvMagnetohydrodynamics (including electron magnetohydrodynamics) 5272+vLaboratory studies of space- and astrophysical-plasma processes 5225FiTransport properties I. INTRODUCTION There has been significant recent work on Vlasov-Maxwell (VM) equilibria that are consistent with nonlinear force-free1–8 and “nearly force-free”9 magnetic fields in Cartesian geometry. Therein, force-free refers to a magnetic field for which the associated current density is exactly parallel, which is the definition we shall also use ∇×B=μ0j, j×B=0.These works consider one-dimensional (1D) collisionless current sheets, with Refs. 1–8 specifically calculating…
Chapter 1 INTRODUCTION The study of magnetohydrodynamics (MHD) draws from two well known branches of physics, electrodynamics and hydrodynamics.The basic laws of electrodynamics described in the form of Maxwell’s Equations where The hydrodynamics of a fluid is expressed in the form of conservation laws of mass, momentum and energy.The magnetohydrodynamic phenomena are a consequence of the mutual interaction of the fluid flow and the magnetic field. As is well…