Reconnection of Quasi-Singular Current Sheets: The “Ideal” Tearing Mode

Pucci, Fulvia; Velli, Marco

doi:10.1088/2041-8205/780/2/l19

Cited by 174 publications

(296 citation statements)

References 11 publications

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“…Note that these findings are also consistent with the recent understanding that thin current sheets are strongly unstable under the plasmoid instability (Bulanov et al 1978;Biskamp 1986;Loureiro et al 2007;Lapenta 2008;Bhattacharjee et al 2009), with growth rates reaching fast "ideal" Alfvén values (γτ A ∼ 1) for sufficiently small thicknesses (Pucci & Velli 2014;Tenerani et al 2015;Landi et al 2015). Including the Hall effect the instability becomes explosive as the current sheet thickness approaches d i (Pucci et al 2017).…”

Section: Introductionsupporting

confidence: 88%

Coronal Heating Topology: The Interplay of Current Sheets and Magnetic Field Lines

Rappazzo

Matthaeus

Ruffolo

et al. 2017

ApJ

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The magnetic topology and field line random walk properties of a nanoflare-heated and magnetically confined corona are investigated in the reduced magnetohydrodynamic regime. Field lines originating from current sheets form coherent structures, called Current Sheet Connected (CSC) regions, extended around them. CSC field line random walk is strongly anisotropic, with preferential diffusion along the current sheets' in-plane length. CSC field line random walk properties remain similar to those of the entire ensemble but exhibit enhanced mean square displacements and separations due to the stronger magnetic field intensities in CSC regions. The implications for particle acceleration and heat transport in the solar corona and wind, and for solar moss formation are discussed.

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Section: Introductionsupporting

confidence: 88%

Coronal Heating Topology: The Interplay of Current Sheets and Magnetic Field Lines

Rappazzo

Matthaeus

Ruffolo

et al. 2017

ApJ

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“…As the driving increases, the system attempts to process more material and flux through the current sheet and the reconnection rate necessarily increases. Once the rate of material and magnetic flux to process exceeds the current sheet's capacity via the Sweet-Parker type reconnection, basic mass and energy continuity necessitate the rapid onset of nonlinearity and the development of plasmoid-unstable evolution (see also Daughton et al 2011a,b;Pucci & Velli 2014;Tenerani et al 2016). …”

Section: Simulation Resultsmentioning

confidence: 99%

Formation and Reconnection of Three-dimensional Current Sheets with a Guide Field in the Solar Corona

Edmondson

Lynch

2017

ApJ

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We analyze a series of three-dimensional magnetohydrodynamic numerical simulations of magnetic reconnection in a model solar corona to study the effect of the guide field component on quasi-steady state interchange reconnection in a pseudostreamer arcade configuration. This work extends the analysis of Edmondson et al. (2010b) by quantifying the mass density enhancement coherency scale in the current sheet associated with magnetic island formation during the nonlinear phase of plasmoid-unstable reconnection. We compare the results of four simulations of a zero, weak, moderate, and a strong guide field, B GF /B 0 = {0.0, 0.1, 0.5, 1.0}, to quantify the plasmoid density enhancement's longitudinal and transverse coherency scales as a function of the guide field strength. We derive these coherency scales from autocorrelation and wavelet analyses, and demonstrate how these scales may be used to interpret the density en-

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“…It was shown (Pucci and Velli, 2014) that in this case resistive inner layer scales as δ η / ∼ S −1/2 . It therefore seems logical to generalize the parameter defining the relevance of the Hall effect to…”

Section: Fast Resistive Magnetic Reconnection In the Presence Of The mentioning

confidence: 84%

“…Tenerani Shi et al (2016). We have investigated the purple region in Pucci and Velli (2014) and the white region within this work. While the orange region has been investigated in Del Sarto et al (2016) (even if the Hall effect is negligible in the adopted frame), the green one still has to be explored and with that, a possible critical value of d e for which collisionless reconnection can present single or multiple x-points.…”

Section: Comments and Conclusionmentioning

confidence: 99%

“…Recently it has been shown Pucci and Velli (2014) that in high Reynolds number plasmas, and in particular for the ideal limit, S → ∞, resistive instabilities survive and can become fpucci@roma2.infn.it fulvia.pucci@nifs.ac.jp mvelli@ucla.edu annatenerani@epss.ucla.edu ideal, i.e. grow on the Alfvén time-scale, once an inverse aspect ratio a/L = S −1/3 is reached.…”

Section: Introductionmentioning

confidence: 99%

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Fast Magnetic Reconnection: “Ideal” Tearing and the Hall Effect

Pucci

Velli

Tenerani

2017

ApJ

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One of the main questions in magnetic reconnection is the origin of triggering behavior with on/off properties that accounts, once it is activated, for the fast magnetic energy conversion to kinetic and thermal energies at the heart of explosive events in astrophysical and laboratory plasmas. Over the past decade progress has been made on the initiation of fast reconnection via the plasmoid instability and what has been called "ideal" tearing, which sets in once current sheets thin to a critical inverse aspect ratio (a/L) c : as shown by Pucci and Velli (2014), at (a/L) c ∼ S −1/3 the time scale for the instability to develop becomes of the order of the Alfvén time and independent of the Lundquist number (here defined in terms of current sheet length L). However, given the large values of S in natural plasmas, this transition might occur for thicknesses of the inner resistive singular layer which are comparable to the ion inertial length d i . When this occurs, Hall currents produce a threedimensional quadrupole structure of magnetic field, and the dispersive waves introduced by the Hall effect accelerate the instability. Here we present a linear study showing how the "ideal" tearing mode critical aspect ratio is modified when Hall effects are taken into account, including more general scaling laws of the growth rates in terms of sheet inverse aspect ratio: the critical inverse aspect ratio is amended to a/L (di/L) 0.29 (1/S) 0.19 , at which point the instability growth rate becomes Alfvénic and does not depend on either of the (small) parameters d i /L, 1/S. We discuss the implications of this generalized triggering aspect ratio for recently developed phase diagrams of magnetic reconnection.

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Reconnection of Quasi-Singular Current Sheets: The “Ideal” Tearing Mode

Cited by 174 publications

References 11 publications

Coronal Heating Topology: The Interplay of Current Sheets and Magnetic Field Lines

Coronal Heating Topology: The Interplay of Current Sheets and Magnetic Field Lines

Formation and Reconnection of Three-dimensional Current Sheets with a Guide Field in the Solar Corona

Fast Magnetic Reconnection: “Ideal” Tearing and the Hall Effect

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