- qc / 9 90 50 44 v 1 1 3 M ay 1 99 9 Kinetic description of particle interaction with a gravitational wave
نویسندگان
چکیده
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 stochas-ticity 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 is found. Numerical integration of the full equations of motion and subsequent calculation of the diffusion coefficient verifies the analytical results.
منابع مشابه
ar X iv : g r - qc / 9 90 40 15 v 1 6 A pr 1 99 9 Errors on the inverse problem solution for a noisy spherical gravitational wave antenna
A single spherical antenna is capable of measuring the direction and polarization of a gravitational wave. It is possible to solve the inverse problem using only linear algebra even in the presence of noise. The simplicity of this solution enables one to explore the error on the solution using standard techniques. In this paper we derive the error on the direction and polarization measurements ...
متن کاملar X iv : p at t - so l / 9 90 50 05 v 1 2 1 M ay 1 99 9 Discrete breathers in systems with homogeneous potentials - analytic solutions
We construct lattice Hamiltonians with homogeneous interaction potentials which allow for explicit breather solutions. Especially we obtain exponentially localized solutions for d-dimensional lattices with d = 2, 3.
متن کامل- qc / 9 70 50 42 v 1 1 5 M ay 1 99 7 Implications of Spontaneous Glitches in the Mass and Angular Momentum in Kerr Space – Time
The outward–pointing principal null direction of the Schwarzschild Rie-mann tensor is null hypersurface–forming. If the Schwarzschild mass spontaneously jumps across one such hypersurface then the hypersurface is the history 1 of an outgoing light–like shell. The outward– pointing principal null direction of the Kerr Riemann tensor is asymptotically (in the neighbourhood of future null infinity...
متن کاملar X iv : n uc l - th / 9 90 50 50 v 1 2 1 M ay 1 99 9 GAMMA - DEUTERON SCATTERING
We discuss a recent computation of Compton scattering on the deuteron at photon energies of order the pion mass. An interaction kernel is computed in baryon chiral perturbation theory and sewn to phenomenological deuteron wave functions. As an appetizer, we consider a computation of the pion-deuteron scattering length using this method.
متن کامل