Time-evolution of axisymmetric magnetic fields in galaxies

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Disk Galaxies, Dynamo Theory, Interstellar Magnetic Fields, Symmetry, Time Series Analysis, Two Dimensional Models, Computerized Simulation, Finite Element Method, Magnetohydrodynamics, Space Plasmas

Scientific paper

Two-dimensional axisymmetric solutions of the mean field dynamo equations for galactic disks are presented. The full dynamo equations are considered, which include the effects of differential rotation, spatial dependent helicity, spatial diffusion and radial advection of magnetic fluxes. These form functions for galactic dynamos are discussed in details. Numerical simulation procedures based on finite element methods are given for disk-corona systems with appropriate boundary conditions. We present solutions with a coronal plasma, which is not influenced by disk processes (like Parker instability, stellar winds, supernova explosions, ...) and therefore has an infinitely large electrical conductivity (the diffusivity is very low), and solutions for a corona, which is influenced by disk processes, i.e., where the magnetic diffusivity essentially increases. In the latter case, the evolution of the magnetic fluxes with time is completely different. This has implications for the interpretation of observed magnetic structures in galactic disks.

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