
arXiv: 2210.15118
A procedure for loading particle velocities from a relativistic kappa distribution in particle-in-cell and Monte Carlo simulations is presented. It is based on the rejection method and the beta prime distribution. The rejection part extends earlier method for the Maxwell–Jüttner distribution, and then the acceptance rate reaches ≳95%. Utilizing the generalized beta prime distributions, we successfully reproduce the relativistic kappa distribution, including the power-law tail. The derivation of the procedure, mathematical preparations, comparison with other procedures, and numerical tests are presented.
Plasma Physics (physics.plasm-ph), High Energy Astrophysical Phenomena (astro-ph.HE), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences, Computational Physics (physics.comp-ph), Astrophysics - High Energy Astrophysical Phenomena, Physics - Computational Physics, Physics - Plasma Physics
Plasma Physics (physics.plasm-ph), High Energy Astrophysical Phenomena (astro-ph.HE), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences, Computational Physics (physics.comp-ph), Astrophysics - High Energy Astrophysical Phenomena, Physics - Computational Physics, Physics - Plasma Physics
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