Exact solutions for sporadic acceleration of cosmic rays

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Cosmic Rays, Energy Levels, Interstellar Matter, Particle Acceleration, Steady State, Transport Theory, Boltzmann Transport Equation, Fermi Surfaces, Mathematical Models, Statistical Mechanics, Transition Probabilities

Scientific paper

The steady state spectra of cosmic rays which are subject to a sporadic acceleration process, wherein the gain in energy in each encounter is a finite fraction of the particle energy are discussed. They are derived from a mathematical model which includes the possibility of energy dependent leakage of cosmic rays from the galaxy. Comparison with observations allows limits to be placed on the frequency and efficiency of such encounters.

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