Open AccessFluctuating αΩ dynamos by iterated matrices
Author(s) -
Richardson K. J.,
Proctor M. R. E.
Publication year - 2012
Publication title -
monthly notices of the royal astronomical society: letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.067
H-Index - 122
eISSN - 1745-3933
pISSN - 1745-3925
DOI - 10.1111/j.1745-3933.2012.01235.x
Subject(s) - dynamo , scaling , iterated function , piecewise , simple (philosophy) , mathematics , action (physics) , statistical physics , scaling law , constant (computer programming) , mathematical analysis , physics , magnetic field , computer science , geometry , quantum mechanics , philosophy , epistemology , programming language
Recent publications have suggested various scaling laws for dynamo growth rates when dynamo action is made possible or enhanced by shear. In order to understand the relation between the different scalings, we study a simple model mean field dynamo, in which the α‐effect is piecewise constant in time, allowing a simple derivation of the growth rates in terms of iterated matrices. It is found that all the different scaling laws that appear in earlier work can be seen in different parameter regimes.