Results for Run2. (a) Time evolutions of the Fourier amplitude of averaged over the direction at for mode 0 (solid curve), mode 1 (dashed curve), and mode 6 (dotted curve). (b) 3D structure of the kinked current sheet at . Color contours represent the electron number density, and white curves are its isolines.
for Run2 averaged over the direction at . Solid curve denotes the result at , while dashed curve is the initial profile.
Schematic describing an integration region for calculating the global reconnection rate when magnetic reconnection takes place in a kinked current sheet. The global reconnection rate is obtained by integrating the electric field along the kinked -line (thick solid curve).
Time profiles of the global reconnection rate normalized by the upstream parameters for Run1 (dashed curve) and Run2 (solid curve).
Electron flow velocity along the isoline of at and for Run1 (dashed curve) and Run2 (solid curve). The velocity and the position in the direction are averaged over the isoline.
New coordinate (, ) system at and , in which axis is along the isoline of . White dashed curve represents the -line where .
Generalized Ohm’s law in the coordinate system at for (a) Run1 and (b) Run2. Each term and position in the direction are averaged over the direction. is represented by black thick curve, by green curve, by blue curve, by pink curve, by light blue curve, by red curve, and sum of the right-hand side of Eq. (4) by black light curve.
Electron pressure tensor term in the generalized Ohm’s law at for (a) Run1 and (b) Run2. Each component is averaged over the axis and is indicated by A, B, C, or D. The component A denotes , B , C , and D the sum of A, B, and C.
Profile along the axis through the -line of at for Run1.
Electron distribution functions for (a), (b) Run1, and (c), (d) Run2. Positions are (a) , (b) , and [(c) and (d)] . The position for (c) and (d) is indicated by “” in Fig. 12(a).
Time evolutions of the energy distribution in the space of the electrons which constitute a fluid element sampled in the upstream region, for (a) Run1 and (b) Run2. The electrons which have escaped from the plane through the -line are removed from the fluid element. Black curve represents the bulk energy of the fluid element, while red curve denotes the thermal energy.
Results for Run2 at and . (a) , and (b) electron current density in the plane, , are superposed on the isolines of (black solid curve). Approximate -line where is represented by thick black curve. Central region of the electron current sheet, where , is indicated by red (gray) shadow in (b).
Profiles through the -line at and of the term in the generalized Ohm’s law. Solid curve shows the case without high-energy electrons that satisfy or , and dashed curve is the case with all the electrons.
Time evolutions of the dissipation rate in the 2D simulations for the cases of (Run3), 100 (Run4), and 400 (Run5), which are indicated by arrows. The dissipation rate is normalized by the lobe parameters.
Results for Run5. (a) Snapshot at of the electron temperature in color contours, and isolines for in white curves. Electron temperature is normalized by the initial temperature. (b) Time evolutions of electron heating rate in red curve and in black curve, averaged over the entire system. (c) Time evolutions of the Fourier amplitude of averaged over the direction for mode 1 (solid curve) and mode 6 (dashed curve).
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