Bibliography

Van Allen Probes Bibliography is from August 2012 through September 2021

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Analysis of self-consistent nonlinear wave-particle interactions of whistler waves in laboratory and space plasmas

Author	Crabtree, Chris; Ganguli, Gurudas; Tejero, Erik;
Keywords	Dispersion relations; Electron beams; SingingEigenvalues; Van Allen Probes; Whistler waves
Abstract	Whistler mode chorus is one of the most important emissions affecting the energization of the radiation belts. Recent laboratory experiments that inject energetic electron beams into a cold plasma have revealed several spectral features in the nonlinear evolution of these instabilities that have also been observed in high-time resolution in situ wave-form data. These features include (1) a sub-element structure which consists of an amplitude modulation on time-scales slower than the bounce time, (2) closely spaced discrete frequency hopping that results in a faster apparent frequency chirp rate, (3) fast frequency changes near the sub-element boundaries, and (4) harmonic generation. In this paper, we develop a finite dimensional self-consistent Hamiltonian model for the evolution of the resonant beam of electrons. We analyze a single wave case and demonstrate that the instability occurs due to a Krein collision, which manifests as a coupling between a negative and positive energy mode. This analysis revealed that the nonlinear evolution of the spectrally stable fixed-points of the self-consistent Hamiltonian develop a sub-packet structure similar to that of space observations. We then analyze the case of two whistler waves to show that the model reproduces the nonlinear harmonic generation and leads to a hypothesis for the closely spaced frequency hopping observed in laboratory experiments and space data.
Year of Publication	2017
Journal	Physics of Plasmas
Volume	24
Number of Pages	056501
Section
Date Published	03/2017
ISBN
URL	http://aip.scitation.org/doi/10.1063/1.4977539
DOI	10.1063/1.4977539