Statistical Analysis of the Nonlinear Mixing Correlations in Magnetohydrodynamic Turbulence and its Application to the Solar Wind

Physics

Scientific paper

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7524 Magnetic Fields, 7805 Chaos (4420), 7839 Nonlinear Phenomena (4400, 6944), 7857 Stochastic Phenomena (3235, 3265, 4475), 7863 Turbulence (4490)

Scientific paper

The velocity strain is related to the non-Gaussian nature of turbulence through the dynamics of vorticity. With the aid of a spectral closure theory coupled with the multiple-scale method, the nonlinear mixing correlations in the inhomogeneous magnetohydrodynamic turbulence is analyzed. Using the analytical results, a turbulence model for MHD turbulence is proposed. The model is expected to be useful in the MHD turbulence with the mean velocity shears. The system of model equations is applied to the solar wind, and shown to be appropriate to describe the radial evolutions of the cross helicity (velocity-magnetic-field correlation) and the residual energy (difference between the kinetic and magnetic energies) in solar-wind turbulence. The Alfven ratio (ratio of the kinetic to magnetic energies) of ~ 0.5 stationary in space in the outer heliosphere is elucidated as a stationary solution of the turbulence model.

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