2005
DOI: 10.1063/1.1872893
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Current singularities: Drivers of impulsive reconnection

Abstract: Reconnection in nature is generically not quasi-steady. Most often, it is impulsive or bursty, characterized not only by a fast growth rate but a rapid change in the time-derivative of the growth rate. New results, obtained by asymptotic analyses and high-resolution numerical simulations ͓using Adaptive Mesh Refinement͔ of the Hall magnetohydrodynamics ͑MHD͒ or two-fluid equations, are presented. Within the framework of Hall MHD, a two-dimensional collisionless reconnection model is considered in which electro… Show more

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Cited by 72 publications
(101 citation statements)
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References 32 publications
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“…Currently with D. E. Shaw Research,LLC, New York, NY 10036. tween islands approach the ion kinetic scale. This regime is typically referred to as kinetic or fast reconnection since a variety of two-fluid and kinetic models predict rates that are weakly dependent on the system size and dis sipation mechanism [6,7] (the precise scalings are still a subject of controversy [8,9]). In neutral sheet geom etry, both two-fluid simulations [10,11] Recently, this transition between collisional and kinetic reconnection was proposed as the central mechanism in regulating coronal heating [13-15J.…”
Section: Transition From Collisional To Kinetic Reconnection In Largementioning
confidence: 99%
“…Currently with D. E. Shaw Research,LLC, New York, NY 10036. tween islands approach the ion kinetic scale. This regime is typically referred to as kinetic or fast reconnection since a variety of two-fluid and kinetic models predict rates that are weakly dependent on the system size and dis sipation mechanism [6,7] (the precise scalings are still a subject of controversy [8,9]). In neutral sheet geom etry, both two-fluid simulations [10,11] Recently, this transition between collisional and kinetic reconnection was proposed as the central mechanism in regulating coronal heating [13-15J.…”
Section: Transition From Collisional To Kinetic Reconnection In Largementioning
confidence: 99%
“…In the case of Hall-MHD several, apparently contradictory conclusions have been drawn in this regard [2][3][4] which, however, have recently been argued to be motivated by the differing formulations of the problem [5].…”
mentioning
confidence: 99%
“…The Magnetic Reconnection Code (MRC) is a suite of codes (Germaschewski et al 2006;Bhattacharjee et al 2005) that integrate various reduced and extended fluid models of plasma flows. In this paper, the 2D AMR version of the code integrating the equations of RMHD has been used.…”
Section: Finite Difference Methodsmentioning
confidence: 99%
“…Adaptive spectral element methods have the potential to do just that, providing spectral-like accuracy that can be applied efficiently to resolve isolated structures. In this paper, we concentrate on comparing the accuracy of incompressible simulation results from a spectral-elementYbased AMR code (SE; Rosenberg et al 2006Rosenberg et al , 2007 and a finite-differenceYbased AMR code (FD; Germaschewski et al 2006;Bhattacharjee et al 2005) on an astrophysical problem that requires high spatial resolution as well as high accuracy, the so-called MHD island coalescence instability (MICI) problem (Ng & Bhattacharjee 1998). In order to make meaningful comparisons, we let each code run on essentially the same nonuniform grid (i.e., with the total degrees of freedom in the problem fixed) that is refined a priori in regions of the grid where the current sheets will form during the MICI.…”
Section: Introductionmentioning
confidence: 99%