MAGNETIC FIELD GENERATION DUE TO A SELF ACCELERATING DYNAMO IN AN EXTERNAL GRAVITATIONAL FIELD

Abstract

In this paper, the magnetic field generation due to a self-accelerating dynamo in an external gravitational field having calculated and attempt to reconcile it with the existence of gravity effect. (Schekochihin and Cowley, 2008) have proposed a model for the fast growth of magnetic field in galactic clusters using a self-accelerating dynamo. It is shown that the magnetic field amplification is quite large (up to108 ) factor over a very short period of time of 108 yr. This must be so because the viscosity of the medium is determined not only by particular collision but also by plasma micro-instabilities by increasing the effective Reynold number. Here we extend this model and include the effects of the external gravitational field present in such system using the basic fluid equations for the ICM plasma. We modified these equations under the gravitational potential  of r, then the numerical results give us the graphs which combine the physical quantities are r radius, B  gyroradius and dimensionless measure of the pressure anisotropies .