{ "id": "2007.15967", "version": "v1", "published": "2020-07-31T11:13:25.000Z", "updated": "2020-07-31T11:13:25.000Z", "title": "Magnetohydrodynamics of protoplanetary discs", "authors": [ "G. Lesur" ], "comment": "115 pages, 46 figures, accepted for publication in the lecture notes series of the Journal of Plasma Physics (Cambridge University Press)", "categories": [ "astro-ph.SR", "astro-ph.EP", "astro-ph.HE", "physics.flu-dyn", "physics.plasm-ph" ], "abstract": "Protoplanetary discs are made of gas and dust orbiting a young star. They are also the birth place of planetary systems, which motivates a large amount of observational and theoretical research. In these lecture notes, I present a review of the magnetic mechanisms applied to the outer regions R>1 AU of these discs, which are the planet-formation regions. In contrast to usual astrophysical plasmas, the gas in these regions is noticeably cold (T<300 K) and dense, which implies a very low ionisation fraction close to the disc midplane. In these notes, I deliberately ignore the innermost R~0.1 AU region which is influenced by the star-disk interaction and various radiative effects. I start by presenting a short overview of the observational evidence for the dynamics of these objects. I then introduce the methods and approximations used to model these plasmas, including non-ideal MHD, and the uncertainties associated with this approach. In this framework, I explain how the global dynamics of these discs is modelled, and I present a stability analysis of this plasma in the local approximation, introducing the non-ideal magneto-rotational instability. Following this mostly analytical part, I discuss numerical models which have been used to describe the saturation mechanisms of this instability, and the formation of large-scale structures by various saturation mechanisms. Finally, I show that local numerical models are insufficient since magnetised winds are also emitted from the surface of these objects. After a short introduction on winds physics, I present global models of protoplanetary discs, including both a large-scale wind and the non-ideal dynamics of the disc.", "revisions": [ { "version": "v1", "updated": "2020-07-31T11:13:25.000Z" } ], "analyses": { "keywords": [ "protoplanetary discs", "saturation mechanisms", "magnetohydrodynamics", "low ionisation fraction close", "non-ideal magneto-rotational instability" ], "tags": [ "lecture notes" ], "note": { "typesetting": "TeX", "pages": 115, "language": "en", "license": "arXiv", "status": "editable" } } }