Journal ArticleDOI
Numerical evidence of fast dynamo action in a spherical shell.
TLDR
It is demonstrated that the field adjusts to the Bondi-Gold theorem, according to which the field in the insulators inside and outside the shell cannot grow on the fast time scale, by becoming increasingly self-contained within the shell.Abstract:
We consider the evolution of a magnetic field in a spherical shell of highly conducting fluid surrounded by an insulator. We impose an axisymmetric, time-dependent flow, having large regions of chaotic particle paths. This flow appears to yield fast dynamo action, in which the field grows on the fast advective, rather than on the slow diffusive time scale. We demonstrate that the field adjusts to the Bondi-Gold theorem, according to which the field in the insulators inside and outside the shell cannot grow on the fast time scale, by becoming increasingly self-contained within the shell.read more
Citations
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Journal ArticleDOI
Rigorous bounds on the fast dynamo growth rate involving topological entropy
Isaac Klapper,Lai Sang Young +1 more
TL;DR: In this paper, it was shown that the fast dynamo growth rate for a ck+1 map or flow is bounded by topological entropy plus a 1/k correction.
Book
Self-Exciting Fluid Dynamos
Keith Moffatt,Emmanuel Dormy +1 more
TL;DR: In this article, the origins and evolution of magnetic fields in planets, stars, and galaxies are discussed and a basic introduction to magnetohydrodynamics and surveys the observational data, with particular focus on geomagnetism and solar magnetism.
Journal ArticleDOI
ABC flows then and now
TL;DR: In this article, the authors review cellular space-periodic dynamos without scale separation, starting with early work in the 1980s on ABC flows with prescribed steady velocity fields, which naturally led to work done in the 1990s together with Mike Proctor on 2D time-dependent versions which gave strong numerical evidence for the existence of fast dynamos growing on the flow turnover timescale.
Journal ArticleDOI
Inverse cascades and α effect at a low magnetic Prandtl number
TL;DR: Examination of energy spectra and structures in real space reveals that quenching of the velocity by a large-scale magnetic field takes place, with an inverse cascade of magnetic helicity and a force-free field at large scale in the saturated regime.
Book ChapterDOI
Magnetohydrodynamic flows in spherical shells
TL;DR: In this article, the derivation of the equations governing the evolution of magnetic fields in electrically conducting fluids in spherical shells is reviewed, and two classes of magnetic Couette flow and kinematic dynamo theory are considered.
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