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Resonances and particle stochastization in nonhomogeneous electromagnetic fields
Journal article   Open access   Peer reviewed

Resonances and particle stochastization in nonhomogeneous electromagnetic fields

D L Vainchtein, E V Rovinsky, L M Zelenyi and A I Neishtadt
Journal of nonlinear science, v 14(2), pp 173-205
01 Mar 2004
DOI: https://doi.org/10.1007/s00332-003-0576-7
url
http://www.cns.gatech.edu/~dmitri/Publications/wave_my.pdfView
SubmittedOpen Access (License Unspecified),  Open

Abstract

Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
In the present paper we investigate the resonant interaction between monochromatic electromagnetic waves and charged particles in configurations with magnetic field reversals (e.g., in the earth magnetotail). The smallness of certain physical parameters allows us to solve this problem using perturbation theory, reducing the problem of resonant wave-particle interaction to the analysis of slow passages of a particle through a resonance. We discuss in detail two of the most important resonant phenomena: capture into resonance and scattering on resonance. We show that these processes result in destruction of the adiabatic invariants and chaotization of particles; they also may lead to significant (almost free) acceleration of particles and may govern transport in the phase space. We calculate the characteristic times of mixing due to resonant effects and separatrix crossings, and discuss the relative importance of these phenomena.

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Domestic collaboration
International collaboration
Web of Science research areas
Mathematics, Applied
Mechanics
Physics, Mathematical
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