An approximate Kappa generator for particle simulations

Fuente: arXiv
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Auteurs principaux: Zenitani, Seiji, Umeda, Takayuki
Format: Preprint
Publié: 2026
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author Zenitani, Seiji
Umeda, Takayuki
author_facet Zenitani, Seiji
Umeda, Takayuki
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2602_05606
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle An approximate Kappa generator for particle simulations
Zenitani, Seiji
Umeda, Takayuki
Plasma Physics
Instrumentation and Methods for Astrophysics
Space Physics
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.
title An approximate Kappa generator for particle simulations
topic Plasma Physics
Instrumentation and Methods for Astrophysics
Space Physics
url https://arxiv.org/abs/2602.05606