An approximate Kappa generator for particle simulations
arXiv:2602.05606 · doi:10.1186/s40623-026-02465-0
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.
13 pages, 8 figures; to appear in Earth, Planets and Space