2020/01/01 by Lorenzo Zaninetti · 10 citations
Physics and Astronomy · #Distribution (mathematics) #Distribution function #Dust and Plasma Wave Phenomena #Electron #Field (mathematics) #Function (biology) #Laser-Plasma Interactions and Diagnostics #Moment (physics) #Probability distribution #Quantum and Classical Electrodynamics #Relativistic particle #astro-ph.HE #cond-mat.stat-mech
paper · pdf · doi:10.4236/ijaa.2020.104016
published in International Journal of Astronomy and Astrophysics 10(04), 302-318 (Scientific Research Publishing) · 15 pages and 17 figures
openalex publication_date 2020/01/01 · arxiv created 2020/12/10 · arxiv updated 2020/12/11 · openalex created_date 2020/12/21 · openalex updated_date 2026/08/05
Two relativistic distributions which generalize the Maxwell Boltzman (MB) distribution are analyzed: the relativistic MB and the Maxwell-Jüttner (MJ) distribution. For the two distributions, we derived in terms of special functions the constant of normalization, the average value, the second moment about the origin, the variance, the mode, the asymptotic behavior, approximate expressions for the average value as function of the temperature and the connected inverted expressions for the temperature as function of the average value. Two astrophysical applications to the synchrotron emission in presence of the magnetic field and the relativistic electrons are presented.