On the Distribution of Plasmoids In High-Lundquist-Number Magnetic Reconnection

The distribution function $f(ψ)$ of magnetic flux $ψ$ in plasmoids formed in high-Lundquist-number current sheets is studied by means of an analytic phenomenological model and direct numerical simulations. The distribution function is shown to follow a power law $f(ψ)\simψ^{-1}$, which differs from other recent theoretical predictions. Physical explanations are given for the discrepant predictions of other theoretical models.

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