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Published by: Journal of Plasma Physics Published on: 08/2019
YEAR: 2019   DOI: 10.1017/S0022377819000540
In this paper, weak-turbulence theory is used to investigate the nonlinear evolution of the parametric instability in three-dimensional low-β plasmas at wavelengths much greater than the ion inertial length under the assumption that slow magnetosonic waves are strongly damped. It is shown analytically that the parametric instability leads to an inverse cascade of Alfv\ en wave quanta, and several exact solutions to the wave kinetic equations are presented. The main results of the paper concern the parametric decay of Alf ...
Published by: Journal of Plasma Physics Published on: 02/2018
YEAR: 2018   DOI: 10.1017/S0022377818000016
Turbulence plays a key role in the conversion of the energy of large-scale fields and flows to plasma heat, impacting the macroscopic evolution of the heliosphere and other astrophysical plasma systems. Although we have long been able to make direct spacecraft measurements of all aspects of the electromagnetic field and plasma fluctuations in near-Earth space, our understanding of the physical mechanisms responsible for the damping of the turbulent fluctuations in heliospheric plasmas remains incomplete. Here we propose a ...
Published by: Journal of Plasma Physics Published on: 02/2017
YEAR: 2017   DOI: 10.1017/S0022377816001197