Kinematic dynamo action in square and hexagonal patterns.

Kinematic dynamo action in square and hexagonal patterns.
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方形和六边形图案的运动发电机动作。

DOI:
10.1103/physreve.88.053011
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发表时间:
2013
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
Favier B
Favier B
中科院分区:
--
文献类型:
--
作者:
Favier B

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We consider kinematic dynamo action in rapidly rotating Boussinesq convection just above onset. The velocity is constrained to have either a square or a hexagonal pattern. For the square pattern, large-scale dynamo action is observed at onset, with most of the magnetic energy being contained in the horizontally averaged component. As the magnetic Reynolds number increases, small-scale dynamo action becomes possible, reducing the overall growth rate of the dynamo. For the hexagonal pattern, the breaking of symmetry between up and down flows results in an effective pumping velocity. For intermediate rotation rates, this additional effect can prevent the growth of any mean-field dynamo, so that only a small-scale dynamo is eventually possible at large enough magnetic Reynolds number. For very large rotation rates, this pumping term becomes negligible, and the dynamo properties of square and hexagonal patterns are qualitatively similar. These results hold for both perfectly conducting and infinite magnetic permeability boundary conditions.
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发表时间: 1977
影响因子: 0.9
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期刊: Physical review. E, Statistical, nonlinear, and soft matter physics
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