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arXiv · 1504.03910

Loading Relativistic Maxwell Distributions in Particle Simulations

Seiji Zenitani
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Abstract

Numerical algorithms to load relativistic Maxwell distributions in particle-in-cell (PIC) and Monte-Carlo simulations are presented. For stationary relativistic Maxwellian, the inverse transform method and the Sobol algorithm are reviewed. To boost particles to obtain relativistic shifted-Maxwellian, two rejection methods are proposed in a physically transparent manner. Their acceptance efficiencies are ${\approx}50\%$ for generic cases and $100\%$ for symmetric distributions. They can be combined with arbitrary base algorithms.

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Seiji Zenitani. 2015-04-15. Loading Relativistic Maxwell Distributions in Particle Simulations. https://doi.org/10.1063/1.4919383

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