Kinetic description of particle interaction with a gravitational wave, Gen. Relativ. Gravit., 29, vol.4, 499, 1997


Abstract

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 coefficient. A solution of the corresponding diffusion equation (Fokker-Planck equation) for the static case was found. Numerical integration of the full equations of motion and subsequent calculation of the diffusion coefficient verifies the analytical results.

Keywords: Gravitation -- Diffusion of particles -- FPK approach