Simple Scaling Relationships for Stellar Dynamos
- 1. Laboratoire AIM Paris-Saclay, CEA/DRF - CNRS - Université Paris Diderot, IRFU/SAp Centre de Saclay, F-91191 Gif-sur-Yvette Cedex, France
Description
This paper provides a brief overview of dynamo scaling relationships for the degree of equipartition between magnetic and kinetic energies. Three basic approaches are adopted to explore these scaling relationships, with a first look at two simple models: one assuming magnetostrophy and another that includes the effects of inertia. Next, a third scaling relationship is derived that utilizes the assumptions that the dynamo possesses two integral spatial scales and that it is driven by the balance of buoyancy work and ohmic dissipation as studied in Davidson 2013. The results of which are then compared to a suite of convective dynamo simulations that possess a fully convective domain with a weak density stratification and that captured the behavior of the resulting dynamo for a range of convective Rossby numbers (Augustson et al. 2016).
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Funding
- SPIRE – Stars: dynamical Processes driving tidal Interactions, Rotation and Evolution 647383
- European Commission
- SPACEINN – Exploitation of Space Data for Innovative Helio- and Asteroseismology 312844
- European Commission
- STARS2 – Simulations of Turbulent, Active and Rotating Suns and Stars 207430
- European Commission