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Wagner et al. 1985
Wagner, J.S., Lin, C.S. and Tajima, T. (1985). Simulation study of type 2 counterstreaming electrons along auroral field lines. Journal of Geophysical Research 90: doi: 10.1029/JA090iA05p04249. issn: 0148-0227.

We examine the production of counterstreaming electrons associated with parallel fields along auroral field lines through the use of computer simulation. We use a 2 1/2 -dimensional (two spatial and three velocity dimensions) electrostatic particle algorithm and auroral boundary conditions to set up a self-consistent V potential structure. The simulation produces signatures of counterstreaming electrons resembling those observed by the Dynamics Explorer 1 (DE 1) satellite. The main signatures are as follows: (1) the phase space contours of the electron distribution function are elongated along the V axis, and (2) the energy of electrons streaming in the upward direction is comparable to the energy of the accelerated electron beam. The simulation indicates that a portion of the accelerated electron beam is trapped by large amplitude electrostatic waves produced through the two-stream instability. Strong wave-particle interactions then thermalize the trapped electrons to produce suprathermal electrons streaming in the direction opposite to that of the accelerated electron beam. These results suggest a possible mechanism of producing a counterstreaming electron fluxes through nonlinear processes of the two-stream instability.

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Journal of Geophysical Research
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