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Loading Relativistic Maxwell Distributions in Particle Simulations

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 نشر من قبل Seiji Zenitani
 تاريخ النشر 2015
  مجال البحث فيزياء
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 تأليف Seiji Zenitani




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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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