Relativistic transport theory for cosmic-rays

Physics

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Adiabatic Conditions, Cosmic Rays, Energy Levels, Magnetohydrodynamic Waves, Scatter Propagation, Transport Theory, Boltzmann Transport Equation, Lorentz Force, Magnetohydrodynamics, Particle Acceleration, Pitch (Inclination), Velocity Distribution

Scientific paper

Various aspects of the transport of cosmic-rays in a relativistically moving magnetized plasma supporting a spectrum of hydromagnetic waves that scatter the cosmic-rays are presented. A local Lorentz frame moving with the waves or turbulence scattering the cosmic-rays is used to specify the individual particle momentum. The comoving frame is in general a noninertial frame in which the observer's volume element is expanding and shearing, geometric energy change terms appear in the cosmic-ray transport equation which consist of the relativistic generalization of the adiabatic deceleration term and a further term involving the acceleration vector of the scatterers. A relativistic version of the pitch angle evolution equation, including the effects of adiabatic focussing, pitch angle scattering, and energy changes is presented.

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