COMMUNICATIONS / MITTEILUNGEN

I.K. Csada

On the Magnetic Effects of Turbulence in Ionized Gases

No. 26
Budapest, 1951

Abstract

In gases which are good electric conductors (ionized gases) local magnetic fields can rise spontaneously by turbulence. These fields may be produced by the diffusion of electrons due to fluctuating temperature. Batchelor's stability criteria show that highly ionized gases are instable to magnetic disturbances at temperatures above 10000deg C. Based on the analogy between vorticity and magnetic field we may estimate the effects produced in perfect conducting gases, by making use of the vorticity transport hypothesis. We may infer that the specific conductivity of the gas decreases by some orders of magnitude and the magnetic permeability increases. This agrees with the investigations of Sweet, who has similarly come to this conclusion. A necessary condition is given by this theory for the origin of the permanent magnetic field of the stars derived from the high ionization and turbulence. By introducing new functions the equations of the electromagnetic hydrodynamics may be written in symmetrical form analogous to the equations of motions in the classical hydrodynamics. The equations also remain analogous in the case of homogeneous isotropic turbulence.

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