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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

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

A detailed numerical study of magnetic reconnection in resistive MHD for very large, previously inaccessible, Lundquist numbers ($10^4\le S\le 10^8$) is reported. Large-aspect-ratio Sweet-Parker current sheets are shown to be unstable to…

Solar and Stellar Astrophysics · Physics 2015-05-13 R. Samtaney , N. F. Loureiro , D. A. Uzdensky , A. A. Schekochihin , S. C. Cowley

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

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

Plasmoid instability accelerates reconnection in collisional plasmas by transforming a laminar reconnection layer into numerous plasmoids connected by secondary current sheets in two dimensions (2D) and by fostering self-generated turbulent…

Plasma Physics · Physics 2024-08-07 Yi-Min Huang , Amitava Bhattacharjee

We study two dimensional turbulent magnetic reconnection in a compressible fluid in the gas pressure dominated limit. We use open boundary conditions and start from a Harris current sheet configuration with a uniform total pressure. A small…

Astrophysics of Galaxies · Physics 2015-05-14 K. Kulpa-Dybel , G. Kowal , K. Otmianowska-Mazur , A. Lazarian , E. Vishniac

Within the resistive magnetohydrodynamic model, high-Lundquist number reconnection layers are unstable to the plasmoid instability, leading to a turbulent evolution where the reconnection rate can be independent of the underlying…

Plasma Physics · Physics 2019-09-04 A. Stanier , W. Daughton , A. Le , X. Li , R. Bird

(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

We investigate the impact of turbulence on magnetic reconnection through high-resolution 3D magnetohydrodynamical (MHD) simulations, spanning Lundquist numbers from $S=10^3$ to $10^6$. Building on Lazarian and Vishniac's (1999) theory,…

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

Magnetic reconnection is a process that changes magnetic field topology in highly conducting fluids. Within the standard Sweet-Parker model, this process would be too slow to explain observations (e.g. solar flares). In reality, the process…

Astrophysics of Galaxies · Physics 2017-04-05 Grzegorz Kowal , Diego A. Falceta-Gonçalves , Alex Lazarian , Ethan T. Vishniac

We study the role of turbulence in magnetic reconnection, within the framework of magneto-hydrodynamics, using three-dimensional direct numerical simulations. For small turbulent intensity we find that the reconnection rate obeys…

Plasma Physics · Physics 2017-07-10 Rohit Sharma , Dhrubaditya Mitra , Divya Oberoi

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

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

Magnetic reconnection is thought to be the dynamical mechanism underlying many explosive phenomena observed both in space and in the laboratory, though the question of how fast magnetic reconnection is triggered in such high Lundquist ($S$)…

Solar and Stellar Astrophysics · Physics 2017-01-04 Anna Tenerani , Marco Velli , Fulvia Pucci , Simone Landi , Antonio Franco Rappazzo

We examine the dynamics of turbulent reconnection in 2D and 3D reduced MHD by calculating the effective dissipation due to coupling between small-scale fluctuations and large-scale magnetic fields. Sweet-Parker type balance relations are…

Astrophysics · Physics 2009-11-06 Eun-Jin Kim , P. H. Diamond

The role of a super-Alfv\'enic plasmoid instability in the onset of fast reconnection is studied by means of the largest Hall magnetohydrodynamics simulations to date, with system sizes up to $10^{4}$ ion skin depths ($d_{i}$). It is…

Plasma Physics · Physics 2011-07-28 Yi-Min Huang , A. Bhattacharjee , Brian P. Sullivan

Magnetic field fluctuations in MHD turbulence can be viewed as current sheets that are progressively more anisotropic at smaller scales. As suggested by Loureiro & Boldyrev (2017) and Mallet et al (2017), below a certain critical thickness…

Plasma Physics · Physics 2017-08-09 Stanislav Boldyrev , Nuno F. Loureiro

We study the linear and nonlinear evolution of the tearing instability on thin current sheets by means of two-dimensional numerical simulations, within the framework of compressible, resistive magnetohydrodynamics. In particular we analyze…

Solar and Stellar Astrophysics · Physics 2015-04-28 Simone Landi , Luca Del Zanna , Emanuele Papini , Fulvia Pucci , Marco Velli
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