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A new stretch‐twist‐fold model for fast dynamo
Author(s) -
Ricca Renzo L.,
Maggioni Francesca
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700522
Subject(s) - dynamo , twist , diffeomorphism , kinematics , fold (higher order function) , magnetic field , mechanics , physics , dynamo theory , magnetic flux , exponential function , magnetic energy , classical mechanics , geometry , mathematical analysis , mathematics , engineering , mechanical engineering , magnetization , quantum mechanics
Preliminary results on a new Stretch‐Twist‐Fold (STF) kinematic model for fast dynamo are presented. The evolution is prescribed by equations that govern the simultaneous stretching, writhing and coiling of a magnetic flux‐tube by diffeomorphism of the initial circular configuration. Simple estimates based on minimized magnetic energy show that exponential growth of the magnetic field is indeed possible. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)