Phase Diagrams of Forced Magnetic Reconnection in Taylor's Model

Abstract

Recent progress in the understanding of how externally driven magnetic reconnection evolves is organized in terms of parameter space diagrams. These diagrams are constructed using four pivotal dimensionless parameters: the Lundquist number $S$, the magnetic Prandtl number $P_m$, the amplitude of the boundary perturbation ${\hat{\Psi }}_0$, and the perturbation wave number $\hat{k}$. This new representation highlights the parameters regions of a given system in which the magnetic reconnection process is expected to be distinguished by a specific evolution. Contrary to previously proposed phase diagrams, the diagrams introduced here take into account the dynamical evolution of the reconnection process and are able to predict slow or fast reconnection regimes for the same values of $S$ and $P_m$, depending on the parameters that characterize the external drive, never considered so far. These features are important to understand the onset and evolution of magnetic reconnection in diverse physical systems

Comments: 13 pages, 2015 Workshop "Complex plasma phenomena in the laboratory and in the universe"

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Cited by in corpus (5)

• General Theory of the Plasmoid Instability
• Plasmoid Instability in Forming Current Sheets
• Visco-Resistive Plasmoid Instability
• Variational formulation of relaxed and multi-region relaxed magnetohydrodynamics
• Viscosity of the magnetized strongly coupled one-component plasma