Mapping for nonlinear electron interaction with whistler-mode waves
arXiv:1911.11459 · doi:10.1063/1.5144477
Abstract
The resonant interaction of relativistic electrons and whistler waves is an important mechanism of electron acceleration and scattering in the Earth radiation belts and other space plasma systems. For low amplitude waves, such an interaction is well described by the quasi-linear diffusion theory, whereas nonlinear resonant effects induced by high-amplitude waves are mostly investigated (analytically and numerically) using the test particle approach. In this paper, we develop a mapping technique for the description of this nonlinear resonant interaction. Using the Hamiltonian theory for resonant systems, we derive the main characteristics of electron transport in the phase space and combine these characteristics to construct the map. This map can be considered as a generalization of the classical Chirikov map for systems with nondiffusive particle transport and allows us to model the long-term evolution of the electron distribution function.
arXiv comment12 pages, 8 figures
References in corpus (7)
- Statistical Study of Whistler Waves in the Solar Wind at 1 AU
- Evolution of electron distribution driven by nonlinear resonances with intense field-aligned chorus waves
- Nonlinear evolution of the whistler heat flux instability
- Resonant excitation of whistler waves by a helical electron beam
- Quasilinear Approach of the Whistler Heat-Flux Instability in the Solar Wind
- Kinetic equation for nonlinear wave-particle interaction: solution properties and asymptotic dynamics
- A map for systems with resonant trappings and scatterings
Cited by in corpus (4)
- Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping
- On application of stochastic differential equations for simulation of nonlinear wave-particle resonant interactions
- A "Trap-Release-Amplify" Model of Chorus Waves
- On a transitional regime of electron resonant interaction with whistler-mode waves in inhomogeneous space plasma