The Effect of Hall and FLR terms on the Development of MHD Turbulence Spectra

Physics

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7839 Nonlinear Phenomena, 7843 Numerical Simulation Studies, 7863 Turbulence

Scientific paper

Solar wind magnetic spectra often show a steepening of the k-5/3-power law inertial range cascade at scales shorter than the ion gyro radius. Density spectra often show flattening at adjacent scales. We include the Hall term and a Finite Larmor Radius (FLR) term in a two-and-one-half-dimensional compressible magnetohydrodynamic (MHD) system of equations to model high frequency solar wind power spectra near the Doppler-shifted ion-cyclotron frequency. The system is closed by adopting a polytropic equation of state. The Hall term gives rise to steepening of the magnetic field spectra for high-cross helicity states and a range of plasma beta 4 <= β <= 1/4. The FLR term gives rise to flattening of the density spectrum for both high- and low-cross helicity states and the same range of plasma beta. We separate the terms in the system of equations into linear and nonlinear components. The magnitude of the nonlinear term is comparable to, and in some cases stronger than, the linear term at the ion gyro radius scales.

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