Modifications to Swisdak (2013)'s rejection sampling algorithm for a Maxwell-J\"{u}ttner distribution in particle simulations

Seiji Zenitani

doi:10.1063/5.0226859

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arXiv · 2408.09105

Modifications to Swisdak (2013)'s rejection sampling algorithm for a Maxwell-J\"{u}ttner distribution in particle simulations

Seiji Zenitani

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Abstract

Modifications to Swisdak [Phys. Plasmas 20, 062110 (2013)]'s rejection sampling algorithm for drawing a Maxwell-J\"{u}ttner distribution in particle simulations are presented. Handy approximations for $e$-folding points and a linear slope in the envelope function are proposed, to make the algorithm self-contained and more efficient.

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Seiji Zenitani. 2024-08-17. Modifications to Swisdak (2013)'s rejection sampling algorithm for a Maxwell-J\"{u}ttner distribution in particle simulations. https://doi.org/10.1063/5.0226859

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