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Kinetically modified parametric instabilities of circularly polarized Alfvén waves: Ion kinetic effects
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Parametric instabilities of parallel propagating, circularly polarized, finite amplitude Alfvén waves in a uniform background plasma is studied, within a framework of one-dimensional Vlasov description for ions and massless electron fluid, so that kinetic perturbations in the longitudinal direction (ion Landau damping) are included. The present formulation also includes the Hall effect. The obtained results agree well with relevant analysis in the past, suggesting that kinetic effects in the longitudinal direction play essential roles in the parametric instabilities of Alfvén waves when the kinetic effects react “passively.” Furthermore, existence of the kinetic parametric instabilities is confirmed for the regime with small-wave-number daughter waves. Growth rates of these instabilities are sensitive to ion temperature. The formulation and results demonstrated here can be applied to Alfvén waves observed in the solar wind and in the earth’s foreshock region.
Title: Kinetically modified parametric instabilities of circularly polarized Alfvén waves: Ion kinetic effects
Description:
Parametric instabilities of parallel propagating, circularly polarized, finite amplitude Alfvén waves in a uniform background plasma is studied, within a framework of one-dimensional Vlasov description for ions and massless electron fluid, so that kinetic perturbations in the longitudinal direction (ion Landau damping) are included.
The present formulation also includes the Hall effect.
The obtained results agree well with relevant analysis in the past, suggesting that kinetic effects in the longitudinal direction play essential roles in the parametric instabilities of Alfvén waves when the kinetic effects react “passively.
” Furthermore, existence of the kinetic parametric instabilities is confirmed for the regime with small-wave-number daughter waves.
Growth rates of these instabilities are sensitive to ion temperature.
The formulation and results demonstrated here can be applied to Alfvén waves observed in the solar wind and in the earth’s foreshock region.
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