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.
Ricca, R., Maggioni, F. (2007). A new stretch-twist-fold model for fast dynamo. PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS, 7(1), 2100051-2100052 [10.1002/pamm.200700522].
A new stretch-twist-fold model for fast dynamo
RICCA, RENZO;
2007
Abstract
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.
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