The linear growth rate of the whistler anisotropy instability as a function of the angle of propagation for three different values of as labeled. Here and in Figures 2–4, , , , and . Further, and the electron anisotropies are chosen to yield . (a) and . (b) and .
Linear theory results: The fluctuating field ratios for the whistler anisotropy instability as functions of the angle of propagation for the wavenumbers of maximum growth rate using the same parameters as stated in the caption of Figure 1. (a) Fluctuating magnetic field ratios and (b) fluctuating electric field ratios.
Linear properties of the whistler anisotropy instability at as functions of . (a) The real frequency, (b) the angle of propagation, (c) the magnitude of the wavenumber, (d) the electron temperature anisotropy, and (e) the electric/magnetic field energy ratio [Eq. (1)]. For all cases at which the maximum growth rate is at oblique propagation, that is, , .
(Color online) The linear growth rate of the whistler anisotropy instability as a function of wavenumber k and angle of propagation for the initial plasma parameters of the three simulations defined in the text: (a) Run 1 with , (b) Run 2 with , and (c) Run 3 with . The heavy black lines in each panel correspond to the condition . The asterisk in each panel represents the maximum growth rate of . Note that the minimum value of the color scale corresponds to so that larger damping rates saturate in the plot.
(Color online) PIC simulation results at for (left column) and (right column) . The heavy black lines of the right-hand panels correspond to the black lines of Figure 4, that is, the condition .
(Color online) PIC simulation results: The electron temperature anisotropy, the fluctuating magnetic field component energies, and the fluctuating electric field component energies as functions of time for [(a), (d), (g)] Run 1 with , [(b), (e), (h)] Run 2 with , and [(c), (f), (i)] Run 3 with . In panels (d), (e), and (f), the red lines denote , the green lines denote , the blue lines denote , and the black lines denote . In panels (g), (h), and (i), the red lines denote , the green lines denote , the blue lines denote , and the black lines denote .
PIC simulation results for the reduced electron velocity distribution . (a) Run 1 with , (b) Run 2 with , and (c) Run 3 with . The dashed curves represent the initial Maxwellian distributions, and the solid curves display the parallel velocity distributions at .
PIC simulation results from Run 3 for part of the reduced electron velocity distribution at four simulation times. The dashed line represents the initial Maxwellian distribution, the dotted line corresponds to , the long-dashed-short-dashed line corresponds to , and the solid line corresponds to .
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