Parity coupling in 2-dynamos

Physics – Fluid Dynamics

Scientific paper

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Parity Coupling, 2-Dynamos, Taylor'S Constraint

Scientific paper

The modal 2-dynamo of Hollerbach and Ierley (1991) is extended to include both parities, dipolar and quadrupolar. Two choices of are considered. As before, the solutions approach the Taylor state, and the subsequent equilibration is independent of the viscosity in the asymptotic limit. The first choice of yields stable steady-state pure-parity solutions of either type, and may yield some insight into the question of parity selection. The second choice of yields rather complex time-dependent mixed-parity solutions, and demonstrates the extent to which parity coupling can affect the evolution of time-dependent solutions.

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