The Current Algebra of Global MHD Stability
MIAMI UNIV CORAL GABLES FL DEPT OF PHYSICS
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A theory of nonlinear global magnetohydrodynamic stability is described. The formalism is an entirely new approach to the problem. The concepts of space-time and generalized gauge symmetries of the flow fields are invoked to find constants of the motion. The constants correspond to charge operators in a theory of the current algebra of the fields. The charges, in turn, are defined by integrals that are determined by the symmetries of the fields. The strengths of the individual components of the currents determine the amount of symmetry breaking in each physical situation. The constants of the motion corresponding to the charge operator are used in conjunction with the principle of least constraint to generate the Euler-Lagrange equations corresponding to stable plasma motion.
- Plasma Physics and Magnetohydrodynamics