Ideal magnetohydrodynamic theory of magnetic fusion systems

Abstract

Ideal magnetohydrodynamic theory and its apphcation to magnetic fusion systems are reviewed. The review begins with a description and derivation of the model as well as a discussion of the region of validity. Next, the general properties are derived which are valid for arbitrary geometry and demonstrate the inherently sound physical foundation of the model. The equilibrium behavior of the currently most promising toroidal magnetic fusion concepts are then discussed in detail. Finally, the stability of such equilibria is investigated. Included are discussions of the general stability properties of arbitrary magnetic geometries and of detailed applications to those concepts of current fusion interest. CONTENTS

Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics

“…§ II.H of Freidberg (1982)). In particular, particle mean-free-paths parallel to magnetic field lines are not short in high-temperature plasmas, so modifications of IMHD that distinguish parallel and perpendicular physics have long been sought in order to extend its applicability (e.g.…”

Application of the MHD energy principle to magnetostatic atmospheres

“…Defining A l as VA and using ( 14) Equation ( 16) is a generalization of the incompressibility condition that results from minimizing 6W in plasmas that are not gravitationally stratified (e.g. Freidberg, 1982). Equations ( 16) and ( 17), taken together, imply that the total ( gas plus magnetic) pressure perturbation is zero, and thus eliminates the stabilizing restoring force due to a pressure perturbation.…”

Generation of axisymmetric magnetosonic shock waves: Applications to static equilibria and accretion disks

“…Among the many references we may select the classical review [1], and the excellent modern exposition [2]. One of the aims of this theory is to identify perturbation frequencies which lead to exponential growth and therefore show the instability of the equilibrium.…”