An examination of the adiabatic approximation in cosmic ray propagation theory

Physics

Scientific paper

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Approximation, Cosmic Rays, Magnetic Fields, Particle Motion, Propagation Modes, Adiabatic Conditions, Average, Distribution Functions, Power Series, Truncation Errors, Turbulent Diffusion

Scientific paper

A theory for the pitch-angle scattering of cosmic rays in a turbulent magnetic field can be derived from first principles by applying both the quasi-linear and adiabatic approximations to the master equation for the ensemble averaged distribution function. A proof of the failure of these approximations, taken together, is given. Some predictions of the quasi-linear theory, are given. New wave-like propagation modes have been discovered.

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