 
Summary: G en eral Relativity an d G ravitation , Vol. 29, No. 4, 1997
Kinetic Description of Particle Interaction with a
Gravitational Wave
A. Anastasiadis,1
K. Kleidis1
and H. Varvoglis1
Received June 14, 1996
The interact ion of charged particles, moving in a uniform magnetic ® eld,
with a plane polarized gravitational wave is considered using the Fokker±
P lanck± Kolmogorov (fpk) approach. By using a stochasticity criterion,
we determine the exact locations in phase space, where resonance overlap
ping occurs. We investigate the diOEusion of orbits around each primary
resonance of order m by deriving general analytical expressions for an
eOEective diOEusion coe cient. A solution of the corresponding diOEusion
equation (Fokker± P lanck equation) for the static case is found. Num eri
cal integrat ion of the full equations of motion and subsequent calculation
of the diOEusion coe cient veri® es the analyt ical results.
KEY WORDS : Fokker± P lanck equation with magnetic ® eld
1. INTRODUCTION
The many eOEorts that have been made to detect gravitational waves have
