Time evolution of the energy spectrum of Alfven waves due to the non-linear Landau damping

Astronomy and Astrophysics – Astrophysics

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Energy Spectra, Landau Damping, Magnetohydrodynamic Waves, Solar Wind, Mathematical Models, Nonlinear Systems

Scientific paper

A study is made of the time evolution of the energy spectrum of Alfven waves due to the nonlinear Landau damping. The investigation is based on solutions to Lifshitz-Tsytovich equations for the time evolution of MHD waves describing the induced scattering by plasma particles. Particular consideration is given to the solution's time evolution for the case where the energy spectrum obeys a power law having an arbitrary index. It is found that regardless of initial value, the index of the power law spectrum tends immediately to concentrate on a narrow region between 1.5 and 2. This is followed by a gradual approach to the final value of one. The observed features agree with observations of Alfven waves in the solar wind.

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