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Titel Relativistic transformation of phase-space distributions
VerfasserIn R. A. Treumann, R. Nakamura, W. Baumjohann
Medientyp Artikel
Sprache Englisch
ISSN 0992-7689
Digitales Dokument URL
Erschienen In: Annales Geophysicae ; 29, no. 7 ; Nr. 29, no. 7 (2011-07-19), S.1259-1265
Datensatznummer 250017060
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/angeo-29-1259-2011.pdf
 
Zusammenfassung
We investigate the transformation of the distribution 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 vicinity of high-Mach number shocks where particles are accelerated 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 distribution function from first principles. Application to thermal equilibrium lets us derive a modified version of the isotropic relativistic thermal distribution, the modified Jüttner distribution corrected for the Lorentz-invariant phase-space volume element. Finally, we discuss the relativistic modification of a number of plasma parameters.
 
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