Kinetically modified parametric instabilities of circularly polarized Alfvén waves: Ion kinetic effects

Abstract

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. (accepted to Physics of Plasmas)

Comment on “Kinetically modified parametric instabilities of circularly polarized Alfvén waves: Ion kinetic effects” [Phys. Plasmas 13, 124501 (2006)]

“…In a recent paper 1 Nariyuki and Hada presented a kinetic analysis of parametric instabilities of circularly polarized Alfvén waves including the Hall effect in a proton-electron plasma. Because Ref.…”

Response to “Comment on ‘Kinetically modified parametric instabilities of circularly polarized Alfvén waves: Ion kinetic effects’ ” [Phys. Plasmas 14, 024703 (2007)]

“…͑17͒ in Ref. 1. Needless to say, examination of the real frequency is essential in comprehending the nature and origin of the instabilities and for identifying the wave modes.…”

“…Recently, 1 we have presented a kinetic analysis of parametric instabilities of circularly polarized Alfvén waves including the Hall effect. In the Comment to our paper, 2 Araneda aims to point out an imprecise reference to his paper 3 and some obscure arguments.…”

Kinetic modulational instability of broadband dispersive Alfvén waves in plasmas

“…The latter include the three-wave decay [13][14][15][16]22] and modulational instabilities [18][19][20][21]. However, the coherent wavewave and wave-particle [15,21] interactions are inappropriate when the DAWs have random phases/broadband spectra.…”

“…Large-amplitude coherent non-dispersive and DAWs are subjected to a great variety of nonlinear effects [2,3,9,[13][14][15][16][17][18][19][20][21][22]. The latter include the three-wave decay [13][14][15][16]22] and modulational instabilities [18][19][20][21].…”