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Our understanding of magnetic reconnection in resistive magnetohydrodynamics has gone through a fundamental change in recent years. The conventional wisdom is that magnetic reconnection mediated by resistivity is slow in laminar high…

Plasma Physics · Physics 2013-05-21 Yi-Min Huang , A. Bhattacharjee

Recently, secondary island formation due to the tearing instability of the Sweet-Parker current sheet was identified as a possible mechanism that can lead to fast reconnection (less sensitive dependence on Lundquist number $S$) both in…

Solar and Stellar Astrophysics · Physics 2011-06-06 C. S. Ng , S. Ragunathan

The Sweet-Parker layer in a system that exceeds a critical value of the Lundquist number ($S$) is unstable to the plasmoid instability. In this paper, a numerical scaling study has been done with an island coalescing system driven by a low…

Plasma Physics · Physics 2015-03-13 Yi-Min Huang , A. Bhattacharjee

Magnetic reconnection mediated by the hyper-resistive plasmoid instability is studied with both linear analysis and nonlinear simulations. The linear growth rate is found to scale as $S_{H}^{1/6}$ with respect to the hyper-resistive…

Plasma Physics · Physics 2014-07-24 Yi-Min Huang , A. Bhattacharjee , Terry G. Forbes

We investigate the development of tearing-mode instability using the highest-resolution two-dimensional magnetohydrodynamic simulations of reconnecting current sheets performed on a uniform grid, for Lundquist numbers of $10^3 \le S \le 5…

Plasma Physics · Physics 2026-05-05 G. H. Vicentin , G. Kowal , E. M. de Gouveia Dal Pino , A. Lazarian

We investigate, by means of two-dimensional incompressible magnetohydrodynamic (MHD) numerical simulations, the fast collisional magnetic reconnection regime that is supported by the formation of plasmoid chains when the Lundquist number…

Solar and Stellar Astrophysics · Physics 2020-02-12 Hubert Baty

Current sheets formed in magnetic reconnection events are found to be unstable to high-wavenumber perturbations. The instability is very fast: its maximum growth rate scales as S^{1/4} v_A/L, where L is the length of the sheet, v_A the…

Astrophysics · Physics 2009-11-13 N. F. Loureiro , A. A. Schekochihin , S. C. Cowley

It has been established that the Sweet-Parker current layer in high Lundquist number reconnection is unstable to the super-Alfv\'enic plasmoid instability. Past two-dimensional magnetohydrodynamic simulations have demonstrated that the…

Plasma Physics · Physics 2016-02-17 Yi-Min Huang , A. Bhattacharjee

Thin current sheets in systems of large size that exceed a critical value of the Lundquist number are unstable to a super-Alfvenic tearing instability. The scaling of the growth rate of the fastest growing instability with respect to the…

Plasma Physics · Physics 2014-07-24 A. Bhattacharjee , Yi-Min Huang , H. Yang , B. Rogers

(abridged) Magnetic reconnection is the topological reconfiguration of the magnetic field in a plasma, accompanied by the violent release of energy and particle acceleration. Reconnection is as ubiquitous as plasmas themselves, with solar…

Plasma Physics · Physics 2015-07-29 N. F. Loureiro , D. A. Uzdensky

A set of reduced Hall magnetohydrodynamic (MHD) equations are used to evaluate the stability of large aspect ratio current sheets to the formation of plasmoids (secondary islands). Reconnection is driven by resistivity in this analysis,…

Plasma Physics · Physics 2015-05-30 S. D. Baalrud , A. Bhattacharjee , Y. -M. Huang , K. Germaschewski

A 2D linear theory of the instability of Sweet-Parker (SP) current sheets is developed in the framework of Reduced MHD. A local analysis is performed taking into account the dependence of a generic equilibrium profile on the outflow…

Plasma Physics · Physics 2015-06-11 N. F. Loureiro , A. A. Schekochihin , D. A. Uzdensky

A numerical study of magnetic reconnection in the large-Lundquist-number ($S$), plasmoid-dominated regime is carried out for $S$ up to $10^7$. The theoretical model of Uzdensky {\it et al.} [Phys. Rev. Lett. {\bf 105}, 235002 (2010)] is…

Solar and Stellar Astrophysics · Physics 2015-05-30 N. F. Loureiro , R. Samtaney , A. A. Schekochihin , D. A. Uzdensky

The process of fast magnetic reconnection supported by the formation of plasmoid chains in the high Lundquist number ($S$) regime is investigated using a recently developed adaptive finite-element magnetohydrodynamic (MHD) code. We employ a…

Solar and Stellar Astrophysics · Physics 2020-05-12 Hubert Baty

The plasmoid instability in visco-resistive current sheets is analyzed in both the linear and nonlinear regimes. The linear growth rate and the wavenumber are found to scale as $S^{1/4} {\left( {1 + {P_m}} \right)}^{-5/8}$ and $S^{3/8}…

Plasma Physics · Physics 2016-04-07 Luca Comisso , Daniela Grasso

We investigate by means of two-dimensional incompressible magnetohydrodynamic (MHD) numerical simulations, the onset phase of the fast collisional magnetic reconnection regime that is supported by the formation of plasmoid chains when the…

Solar and Stellar Astrophysics · Physics 2020-07-21 Hubert Baty

The plasmoid instability has revolutionized our understanding of magnetic reconnection in astrophysical environments. By preventing the formation of highly elongated reconnection layers, it is crucial in enabling the rapid energy conversion…

High Energy Astrophysical Phenomena · Physics 2017-11-30 Luca Comisso , Manasvi Lingam , Yi-Min Huang , Amitava Bhattacharjee

Classical Sweet-Parker models of reconnection predict that reconnection rates depend inversely on the resistivity, usually parameterized using the dimensionless Lundquist number ($\Lund$). We describe magnetohydrodynamic (MHD) simulations…

Solar and Stellar Astrophysics · Physics 2015-06-11 Jeffrey S. Oishi , Mordecai-Mark Mac Low , David C. Collins , Moeko Tamura

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…

Plasma Physics · Physics 2026-05-20 Vinay Kumar , Axel Brandenburg

The scaling of plasmoid instability maximum linear growth rate with respect to Lundquist number $S$ in a Sweet-Parker current sheet, $\gamma_{max}\sim S^{1/4}$, indicates that at high $S$, the current sheet will break apart before it…

Plasma Physics · Physics 2017-12-01 Yi-Min Huang , Luca Comisso , A. Bhattacharjee
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