{ "id": "1610.08710", "version": "v1", "published": "2016-10-27T11:08:55.000Z", "updated": "2016-10-27T11:08:55.000Z", "title": "On the Stability of a General Magnetic Field Topology in Stellar Radiative Zones", "authors": [ "Kyle Augustson", "Stephane Mathis", "Antoine Strugarek" ], "comment": "4 pages, 2 figures, Cool Stars 19 Conference Proceedings 2016", "doi": "10.5281/zenodo.163492", "categories": [ "astro-ph.SR" ], "abstract": "This paper provides a brief overview of the formation of stellar fossil magnetic fields and what potential instabilities may occur given certain configurations of the magnetic field. In particular, a purely magnetic instability can occur for poloidal, toroidal, and mixed poloidal-toroidal axisymmetric magnetic field configurations as originally studied in Tayler (1973), Markey & Tayler (1973), and Tayler (1980). However, most of the magnetic field configurations observed at the surface of massive stars are non- axisymmetric. Thus, extending earlier studies of the axisymmetric Tayler instability in spherical geometry (Goossens, 1980), we introduce a formulation for the global change in the potential energy contained in a convectively-stable region given an arbitrary Lagrangian perturbation, which permits the inclusion of both axisymmetric and non-axisymmetric magnetic fields. With this tool in hand, a path is shown by which more general stability criterion can be established.", "revisions": [ { "version": "v1", "updated": "2016-10-27T11:08:55.000Z" } ], "analyses": { "keywords": [ "general magnetic field topology", "stellar radiative zones", "poloidal-toroidal axisymmetric magnetic field configurations" ], "tags": [ "conference paper", "journal article" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }