The effects of Ohmic heating and stable radiation on magnetic tearing

Details The effects of Ohmic heating and stable radiation on magnetic tearing The effects of Ohmic heating and stable radiation on magnetic tearing

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phfl...26.2976t&link_type=abstract

Physics of Fluids (ISSN 0031-9171), vol. 26, Oct. 1983, p. 2976-2982. NSF-NASA-supported research.

Physics

14

Magnetohydrodynamic Stability, Ohmic Dissipation, Plasma Heating, Radiative Transfer, Resistance Heating, Tearing Modes (Plasmas), Coulomb Potential, Electrical Resistivity, Magnetic Field Configurations, Plasma Temperature, Solar Corona, Solar Flares, Tokamak Devices

Scientific paper

A study is made of the effect of a temperature-dependent Coulomb-like resistivity on the planar tearing mode. The local evolution of the temperature is described by an energy equation which includes Joule heating and optically thin radiation. The resulting system of coupled linear magnetohydrodynamic equations is solved numerically, and eigenfunctions and growth rates are obtained. In the absence of radiation, there are two distinct solutions above a critical value of the magnetic Reynolds number S, a tearing-like mode and a Joule-heating mode. Below this point, the growth rates coalesce into a conjugate-complex pair. When stable radiation (dR/dT greater than 0) is added, the heating mode disappears and a modified tearing excitation exists to much lower values of S before its growth is cut off by Ohmic heating. Examples are given for solar coronal parameters, and for those characteristic of fusion-research devices. The introduction of an effective value for the resistivity, in the presence of energy transport, allows a simple qualitative discussion of the different modes.

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