Loading a relativistic Kappa distribution in particle simulations-Reference-Cited by-同舟云学术

Loading a relativistic Kappa distribution in particle simulations

Published:2022-11 Issue:11 Volume:29 Page:113904
ISSN:1070-664X
Container-title:Physics of Plasmas
language:en
Short-container-title:Physics of Plasmas

Author:

Zenitani Seiji¹^ORCID,Nakano Shin'ya²^ORCID

Affiliation:

1. Research Center for Urban Safety and Security, Kobe University, 1-1 Rokkodai-cho, Nada-ku, Kobe 657-8501, Japan

2. The Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa, Tokyo 190-8562, Japan

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 [Formula: see text]. 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.

Funder

Japan Society for the Promotion of Science

Publisher

AIP Publishing

Subject

Condensed Matter Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0117628

Reference27 articles.

1. One-dimensional particle-in-cell simulations of electrostatic Bernstein waves in plasmas with kappa velocity distributions

2. 2D particle-in-cell simulations of the electron temperature anisotropy driven whistler instability in plasmas having kappa velocity distributions

3. A Note on the Generation of Random Normal Deviates