Energy Principle for Dissipative Twofluid Plasmas
Abstract
An energy principle for the dissipative twofluid theory in Lagrangian form is given. It represents a necessary and sufficient condition for stability allowing the use of test functions. It is exact for twodimensional disturbances but is still correct in terms of perturbation theory for long wavelengths along the magnetic field. This may well find application in tokamak plasmas. A discussion of the general case and its relation to the stability of flows in hydrodynamics is given. This energy principle may be applied for estimating the magnitude of residual tearing modes in tokamaks.
 Publication:

Zeitschrift Naturforschung Teil A
 Pub Date:
 March 1978
 DOI:
 10.1515/zna19780302
 Bibcode:
 1978ZNatA..33..257T
 Keywords:

 Energy Dissipation;
 Magnetohydrodynamic Stability;
 Plasma Diffusion;
 Tokamak Devices;
 Two Fluid Models;
 Electromagnetic Fields;
 Electron Plasma;
 Flow Stability;
 Magnetohydrodynamic Flow;
 Perturbation Theory;
 Plasma Physics