Hall current effects on tearing modes in rotating reverse field plasmas
Abstract
It has been experimentally observed for some time that certain tearing modes in plasmas may be suppressed if the plasma rotates in a preferred direction. In this paper we treat the m = 0, finite-wavelength tearing mode in cylindrical geometry for a reversed-field plasma equilibrium and show that by generalizing Ohm's law to include Hall current terms, we are able to explain this effect of rotation on tearing modes. Our results agree qualitatively with earlier analysis and numerical simulations. We also show that our results are sensitive to the position of the outer conducting wall, and for wall positions sufficiently close to the plasma-vacuum interface, tearing modes may be quenched when the rotation reaches a critical value. These results follow from a boundary-layer analysis and numerical integration of the boundary-layer equations.
- Publication:
-
Journal of Plasma Physics
- Pub Date:
- February 1981
- DOI:
- 10.1017/S0022377800022996
- Bibcode:
- 1981JPlPh..25..111K
- Keywords:
-
- Cylindrical Plasmas;
- Hall Effect;
- Magnetohydrodynamic Stability;
- Reverse Field Pinch;
- Rotating Plasmas;
- Tearing Modes (Plasmas);
- Asymptotic Methods;
- Boundary Layer Equations;
- Boundary Layer Plasmas;
- Equations Of Motion;
- Plasma Equilibrium;
- Plasma Physics