Loading a relativistic Kappa distribution in particle simulations
Seiji Zenitani, S. Nakano
Abstract
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.
Topics & Concepts
PhysicsKappaRelativistic particleDistribution (mathematics)Particle (ecology)Nuclear physicsPlasmaStatistical physicsComputational physicsQuantum electrodynamicsAtomic physicsElectronMathematical analysisLinguisticsMathematicsOceanographyPhilosophyGeologyHigh-Energy Particle Collisions ResearchIonosphere and magnetosphere dynamicsStatistical Mechanics and Entropy