Prandtl number dependence of convection driven dynamos in rotating spherical fluid shells

TL;DR

This paper investigates how the Prandtl number influences convection-driven dynamos in rotating spherical shells, revealing that low Prandtl numbers favor shear-driven dynamo action and magnetic field structures vary significantly with P.

Contribution

It provides a detailed analysis of the dependence of dynamo behavior and magnetic field structure on the Prandtl number in rotating spherical fluid shells.

Findings

Low Prandtl numbers promote shear-driven dynamo action.

High Prandtl numbers favor strong axial dipole magnetic fields.

Magnetic field structure varies significantly with Prandtl number.

Abstract

The value of the Prandtl number $P$ exerts a strong influence on convection-driven dynamos in rotating spherical shells filled with electrically conducting fluids. Low Prandtl numbers promote dynamo action through the shear provided by differential rotation, while the generation of magnetic fields is more difficult to sustain in high-Prandtl-number fluids where higher values of the magnetic Prandtl number $P_m$ are required. The magnetostrophic approximation often used in dynamo theory appears to be valid only for relatively high values of $P$ and $P_m$. Dynamos with a minimum value of $P_m$ seem to be most readily realizable in the presence of convection columns at moderately low values of $P$. The structure of the magnetic field varies strongly with $P$ in that dynamos with a strong axial dipole field are found for high values of $P$ while the energy of this component is exceeded by that of the axisymmetric toroidal field and by that of the non-axisymmetric components at low values of $P$. Some conclusions are discussed in relation to the problem of the generation of planetary magnetic fields by motions in their electrically conducting liquid cores.