# 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.
ADS

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