Binary collision rates of relativistic thermal plasmas. I Theoretical framework

Astronomy and Astrophysics – Astrophysics

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Collisional Plasmas, Particle Beams, Particle Collisions, Relativistic Plasmas, Thermal Plasmas, Bremsstrahlung, Energy Dissipation, Interstellar Matter, Scattering Cross Sections, Solar X-Rays, Thermalization (Energy Absorption)

Scientific paper

Binary collision rates for arbitrary scattering cross sections are derived in the case of a beam of particles interacting with a Maxwell-Boltzmann (MB) plasma, or in the case of two MB plasmas interacting at generally different temperatures. The expressions are valid for all beam energies and plasma temperatures, from the nonrelativistic to the extreme relativistic limits. The calculated quantities include the reaction rate, the energy exchange rate, and the average rate of change of the squared transverse momentum component of a monoenergetic particle beam as a result of scatterings with particles of a MB plasma. Results are specialized to elastic scattering processes, two-temperature reaction rates, or the cold plasma limit, reproducing previous work.

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