Discrete symmetries in dynamo reversals

作者: Riddhi Bandyopadhyay , Mahendra K. Verma

DOI: 10.1063/1.4985307

关键词: Field (physics)Theoretical physicsFourier transformPhysicsHomogeneous spaceMagnetic fieldWavenumberNonlinear systemMagnetohydrodynamicsDynamo

摘要: Quantification of the velocity and magnetic field reversals in dynamo remains an interesting challenge. In this paper, using group-theoretic analysis, we classify reversing non-reversing Fourier modes during a reversal Cartesian box. Based on odd-even parities wavenumber indices, categorise into eight classes each. Then, properties nonlinear interactions magnetohydrodynamics, show that these 16 elements form Klein 16-group Z 2 × . We demonstrate class Taylor-Green dynamo, as well earlier experiments models, belong to one predicted by our arguments.

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