Statistical description of coalescing magnetic islands via magnetic reconnection

Zhou, Muni; Wu, David H.; Loureiro, Nuno F.; Uzdensky, Dmitri A.

doi:10.1017/s0022377821001112

Statistical description of coalescing magnetic islands via magnetic reconnection

Journal Article · 01 December 2021 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s0022377821001112· OSTI ID:1977738

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The physical picture of interacting magnetic islands provides a useful paradigm for certain plasma dynamics in a variety of physical environments, such as the solar corona, the heliosheath and the Earth's magnetosphere. In this work, we derive an island kinetic equation to describe the evolution of the island distribution function (in area and in flux of islands) subject to a collisional integral designed to account for the role of magnetic reconnection during island mergers. This equation is used to study the inverse transfer of magnetic energy through the coalescence of magnetic islands in two dimensions. We solve our island kinetic equation numerically for three different types of initial distribution: Dirac delta, Gaussian and power-law distributions. The time evolution of several key quantities is found to agree well with our analytical predictions: magnetic energy decays as$$\tilde {t}^{-1}$$, the number of islands decreases as$$\tilde {t}^{-1}$$and the averaged area of islands grows as$$\tilde {t}$$, where$$\tilde {t}$$is the time normalised to the characteristic reconnection time scale of islands. General properties of the distribution function and the magnetic energy spectrum are also studied. Finally, we discuss the underlying connection of our island-merger models to the (self-similar) decay of magnetohydrodynamic turbulence.

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-91ER54109

OSTI ID:: 1977738

Journal Information:: Journal of Plasma Physics, Vol. 87, Issue 6; ISSN 0022-3778

Publisher:: Cambridge University Press

Country of Publication:: United States

Language:: English

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