Nonlinear time-evolution of kink-unstable magnetic flux tubes in the convective zone of the sun

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Convective Flow, Magnetic Flux, Nonlinear Evolution Equations, Solar Activity, Solar Magnetic Field, Temporal Distribution, Magnetohydrodynamic Stability, Three Dimensional Flow

Scientific paper

The nonlinear development of the kink instability in a horizontal magnetic flux tube with a field strength exceeding the equipartition value lying initially in the deep convective zone is calculated. A Lagrangian numerical code is developed to obtain solutions for the system of equations dictating the evolution of a thin magnetic flux tube in a stratified medium. The relevance of this calculation to the understanding of active region formation and solar activity cycle is considered.

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