Chaotic interaction of charged particles with a gravitational wave

Details Chaotic interaction of charged particles with a gravitational wave Chaotic interaction of charged particles with a gravitational wave

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...261..664v&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 261, no. 2, p. 664-670.

Astronomy and Astrophysics

Astrophysics

33

Celestial Mechanics, Chaos, Charged Particles, Gravitational Waves, Magnetic Field Configurations, Polarization (Waves), Stochastic Processes, Wave Propagation

Scientific paper

The motion of charged particles (electrons or ions) is considered in a uniform magnetic field and a linearly polarized gravitational wave propagating along the x-axis. It is found numerically that for certain values of the amplitude of the wave and the relative frequency, nu = omega/Omega, (where by omega we denote the angular frequency of the wave and by Omega the angular Larmor frequency of the charged particle) the motion of the particles becomes chaotic. In this way secular transfer of energy between the wave and the particles becomes possible, resulting in a possible damping of the wave. An approximate stochasticity criterion is derived theoretically, estimating the stochasticity threshold of the amplitude of the wave as a function of the relative frequency and the momentum of the particles.

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