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Electron acceleration by an obliquely propagating electromagnetic wave in the regime of validity of the Fokker-Planck-Kolmogorov approachThe relativistic motion of an ensemble of electrons in an intense monochromatic electromagnetic wave propagating obliquely in a uniform external magnetic field is studied. The problem is formulated from the viewpoint of Hamiltonian theory and the Fokker-Planck-Kolmogorov approach analyzed by Hizanidis (1989), leading to a one-dimensional diffusive acceleration along paths of constant zeroth-order generalized Hamiltonian. For values of the wave amplitude and the propagating angle inside the analytically predicted stochastic region, the numerical results suggest that the diffusion probes proceeds in stages. In the first stage, the electrons are accelerated to relatively high energies by sampling the first few overlapping resonances one by one. During that stage, the ensemble-average square deviation of the variable involved scales quadratically with time. During the second stage, they scale linearly with time. For much longer times, deviation from linear scaling slowly sets in.
Document ID
19890043760
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Hizanidis, Kyriakos (Maryland, University College Park, United States)
Vlahos, L. (Salonika, University Greece)
Polymilis, C. (Athens, University Greece)
Date Acquired
August 14, 2013
Publication Date
March 1, 1989
Publication Information
Publication: Physics of Fluids B
Volume: 1
ISSN: 0899-8221
Subject Category
PLASMA PHYSICS
Funding Number(s)
CONTRACT_GRANT: NAGW-81
Distribution Limits
Public
Copyright
Other