An approximate Kappa generator for particle simulations
Plasma Physics
2026-05-12 v3 Instrumentation and Methods for Astrophysics
Space Physics
Abstract
A random number generator for the Kappa velocity distribution in particle simulations is proposed. Approximating the cumulative distribution function with the q-exponential function, an inverse transform procedure is constructed. The proposed method provides practically accurate results, in particular for k<4. It runs fast on graphics processing units (GPUs). The derivation, numerical validation, and relevance to GPU execution models are discussed.
Cite
@article{arxiv.2602.05606,
title = {An approximate Kappa generator for particle simulations},
author = {Seiji Zenitani and Takayuki Umeda},
journal= {arXiv preprint arXiv:2602.05606},
year = {2026}
}
Comments
13 pages, 8 figures; to appear in Earth, Planets and Space