Whistler Turbulence: Particle-in-Cell Simulations

Physics

Scientific paper

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7829 Kinetic Waves And Instabilities, 7863 Turbulence (4490)

Scientific paper

Two dimensional electromagnetic particle-in-cell simulations in a magnetized, homogeneous, collisionless electron-proton plasma demonstrate the forward cascade of whistler turbulence. The simulations represent decaying turbulence, in which an initial, narrowband spectrum of fluctuations at kc/ωe ~eq 0.1 cascades toward increased damping at kc/ωe ~eq 1.0, where c/ωe is the electron inertial length. The turbulence displays magnetic energy spectra that are relatively steep functions of wavenumber and are anisotropic with more energy in directions relatively perpendicular to the background magnetic field Bo = \hat x Bo than at the same wavenumbers parallel to Bo. In the weak turbulence regime, the simulations demonstrate that the cascading fluctuations have the following properties: 1) Magnetic spectra become more anisotropic with increasing fluctuation energy; 2) the wavevector dependence of the three magnetic energy ratios, |δ Bj|2/|δ B|2 with j = x, y, z, show good agreement with linear dispersion theory for whistler fluctuations; 3) the magnetic compressibility summed over the cascading modes satisfies 0.3 ≤sssim|δ Bx|2/|δ B|2 ≤sssim 0.6; and 4) the turbulence heats electrons in directions both parallel and perpendicular to Bo, with stronger heating in the parallel direction. A model to derive basic scaling relations for the turbulence anisotropy will also be discussed.

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