Loading Relativistic Maxwell Distributions in Particle Simulations

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.

16 pages, 3 figures

References in corpus (4)

• Particle Acceleration and Magnetic Dissipation in Relativistic Current Sheet of Pair Plasmas
• Large-scale magnetic field generation via the kinetic Kelvin-Helmholtz instability in unmagnetized scenarios
• Apar-T: code, validation, and physical interpretation of particle-in-cell results
• The Generation of Random Variates From a Relativistic Maxwellian Distribution

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