Resonant decay of kinetic Alfvén waves and implication on spectral cascading

Author:

Shen Kexun1ORCID,Cheng Zhiwen1ORCID,Qiu Zhiyong12ORCID

Affiliation:

1. Institute for Fusion Theory and Simulation, School of Physics, Zhejiang University 1 , Hangzhou 310027, China

2. Center for Nonlinear Plasma Science and C.R. ENEA Frascati 2 , C.P. 65, 00044 Frascati, Italy

Abstract

A general equation describing the resonant nonlinear mode-coupling among kinetic Alfvén waves (KAWs) is derived using nonlinear gyrokinetic theory, which can be applied to study the potentially strong spectral energy transfer of KAWs. As a first application, the parametric decay of a pump KAW into two sideband KAWs is studied, with particular emphasis on cascading in the perpendicular wavenumber. It is found that, for the “co-propagating” cases with all three KAWs propagating in the same direction along the equilibrium magnetic field line, it exhibits a dual cascading character in the perpendicular wavenumber space; while for the “counter-propagating” cases with one sideband propagating in the opposite direction with respect to the pump wave, it instead, can exhibit both dual and inverse cascading behaviors. Furthermore, the implications of these findings on shear Alfvén waves regarding instability, nonlinear saturation, and charged particle transport in fusion plasmas are also discussed.

Funder

Italian Ministry for Foreign Affairs and International Cooperation Project

National Natural Science Foundation of China

Publisher

AIP Publishing

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