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Relativistic Transformation Of Phase-Space Distributions, R A. Treumann, R Nakamura, W Baumjohann

Dartmouth Scholarship

We investigate the transformation of the distri- bution function in the relativistic case, a problem of interest in plasma when particles with high (relativistic) velocities come into play as for instance in radiation belt physics, in the electron-cyclotron maser radiation theory, in the vicin- ity of high-Mach number shocks where particles are acceler- ated to high speeds, and generally in solar and astrophysical plasmas. We show that the phase-space volume element is a Lorentz constant and construct the general particle distri- bution function from first principles. Application to thermal equilibrium lets us derive a modified version of the isotropic relativisticthermaldistribution,themodifiedJu …