Steady Hall Magnetohydrodynamics Near a X-type Magnetic Neutral Line
نویسنده
چکیده
Hall magnetohydrodynamics (MHD) properties near a two-dimensional (2D) X-type magnetic neutral line in the steady state are considered. Upon considering the steady-state as the asymptotic limit of the corresponding time-dependent problem and using a rigorous development, Hall effects are shown to be or not to be able to sustain the hyperbolicity of the magnetic field (and hence a more open X-point configuration) near the neutral line depending on the initial conditions. The heuristic development misses this subtle connection of the steady state with the corresponding time-dependent problem and predicts only an elongated current-sheet configuration (as in resistive MHD). However, the heuristic development turns out to be useful in providing insight into the lack of dependence of the reconnection rate on the mechanism breaking the frozen-in condition of the magnetic field lines. The latter result can be understood in terms of the ability of the ions and electrons to transport equal amounts of magnetic flux per unit time out of the reconnection region. ∗Permanent Address: University of Central Florida, Orlando, FL 32816-1364
منابع مشابه
Unsteady Hall Magnetohydrodynamics near a Hyperbolic Magnetic Neutral Line: An Exact Solution
Unsteady Hall Magnetohydrodynamics (MHD) near a hyperbolic magnetic neutral line is investigated. An exact analytical solution describing a self-similar evolution is given. This solution shows a negligible impact on the current-sheet formation process near the hyperbolic magnetic neutral line at small times by the Hall effect but, subsequently, a quenching by the Hall effect of the finite-time ...
متن کاملCurrent-sheet Evolution near a Hyperbolic Magnetic Neutral Line in Hall Magnetohydrodynamics: An Exact Solution
Current-sheet evolution near a hyperbolic magnetic neutral line in Hall magnetohydrodynamics (MHD) is investigated. An exact analytical solution describing a self-similar evolution is given. This solution shows a hastening of the current-sheet formation process at intermediate times by the Hall effect but subsequently a quenching by the Hall effect of the finite-time singularity exhibited in id...
متن کاملCurrent-sheet Formation near a Hyperbolic Magnetic Neutral Line in Hall Magnetohydrodynamics: An Exact Solution
Current-sheet formation near a hyperbolic magnetic neutral line in Hall magnetohydrodynamics (MHD) is investigated. An exact analytical solution is given. This solution shows a hastening of the current-sheet formation process at intermediate times by the Hall effect but subsequently a quenching by the Hall effect of the finite-time singularity exhibited in ideal MHD and hence a prevention of th...
متن کاملNumerical Solutions to Hall Magnetohydrodynamic Equations near an X-type Magnetic Neutral Line
The Hall Magnetohydrodynamic (MHD) model is a new paradigm for describing fast magnetic reconnection processes in space and laboratory plasmas. Current sheets form and store enormous amounts of magnetic energy at X-type magnetic neutral points, which is released as magnetic storms when the sheets break up. The fast magnetic reconnection process impacts solar flares and Earth’s geomagnetic sub-s...
متن کاملFinite-time singularity formation at a magnetic neutral line in Hall magnetohydrodynamics
The formation of a current sheet in a weakly collisional plasma can be modelled as a finite-time singularity solution of magnetohydrodynamic equations. We use an exact self-similar solution to confirm and generalise a previous finding that, in sharp contrast to two-dimensional solutions in standard MHD, a finite-time collapse to a current sheet can occur in Hall MHD. We derive a criterion for t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008