Magnetic Prandtl number dependence of plasmoid-mediated reconnection

Fuente: arXiv
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Main Authors: Kumar, Vinay, Brandenburg, Axel
Format: Preprint
Published: 2026
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author Kumar, Vinay
Brandenburg, Axel
author_facet Kumar, Vinay
Brandenburg, Axel
contents We investigate the dependence of the plasmoid-mediated magnetic reconnection rate on the magnetic Prandtl number using two-dimensional magnetohydrodynamic simulations of two coalescing magnetic islands. For Lundquist numbers below the onset of the plasmoid instability, the reconnection rate follows the expected Sweet-Parker scaling and decreases with increasing magnetic Prandtl number. However, once the current sheet becomes plasmoid unstable, the dependence on the magnetic Prandtl number weakens considerably. In the fully plasmoid-mediated regime, we find reconnection rates that remain nearly independent of the magnetic Prandtl number over the explored parameter range. We show that the largest reconnection rates are associated with strongly non-linear phases involving plasmoid interactions and mergers. We further compare our results with simulations of the boundary-driven Taylor problem, where previous studies reported a stronger magnetic Prandtl number dependence, and provide a possible explanation for the differing scalings obtained in the two setups. These results may have implications for reconnection-mediated decay in magnetically dominated turbulence and related astrophysical systems.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18946
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Magnetic Prandtl number dependence of plasmoid-mediated reconnection
Kumar, Vinay
Brandenburg, Axel
Plasma Physics
High Energy Astrophysical Phenomena
Fluid Dynamics
We investigate the dependence of the plasmoid-mediated magnetic reconnection rate on the magnetic Prandtl number using two-dimensional magnetohydrodynamic simulations of two coalescing magnetic islands. For Lundquist numbers below the onset of the plasmoid instability, the reconnection rate follows the expected Sweet-Parker scaling and decreases with increasing magnetic Prandtl number. However, once the current sheet becomes plasmoid unstable, the dependence on the magnetic Prandtl number weakens considerably. In the fully plasmoid-mediated regime, we find reconnection rates that remain nearly independent of the magnetic Prandtl number over the explored parameter range. We show that the largest reconnection rates are associated with strongly non-linear phases involving plasmoid interactions and mergers. We further compare our results with simulations of the boundary-driven Taylor problem, where previous studies reported a stronger magnetic Prandtl number dependence, and provide a possible explanation for the differing scalings obtained in the two setups. These results may have implications for reconnection-mediated decay in magnetically dominated turbulence and related astrophysical systems.
title Magnetic Prandtl number dependence of plasmoid-mediated reconnection
topic Plasma Physics
High Energy Astrophysical Phenomena
Fluid Dynamics
url https://arxiv.org/abs/2605.18946