Kinetic description of particle interaction with a gravitational wave

Details Kinetic description of particle interaction with a gravitational wave Kinetic description of particle interaction with a gravitational wave

1999-05-13

arxiv.org/abs/gr-qc/9905044v1

Gen.Rel.Grav. 29 (1997) 499

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file, 15 pages

Scientific paper

The interaction of charged particles, moving in a uniform magnetic field, with a plane-polarized gravitational wave is considered using the Fokker-Planck- Kolmogorov (FPK) approach. By using a stochasticity criterion, we determine the exact locations in phase space, where resonance overlapping occurs. We investigate the diffusion of orbits around each primary resonance of order (m) by deriving general analytical expressions for an effective diffusion coeficient. A solution to the corresponding diffusion equation (Fokker-Planck equation) for the static case is found. Numerical integration of the full equations of motion and subsequent calculation of the diffusion coefficient verifies the analytical results.

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