The Generation of Random Variates From a Relativistic Maxwellian Distribution

TL;DR

This paper introduces a rejection-based algorithm for generating random velocities from a relativistic Maxwellian distribution, enabling accurate initialization in plasma and gas kinetic simulations across various temperatures and drift velocities.

Contribution

The paper presents a novel, efficient method for generating relativistic Maxwellian variates applicable to diverse plasma simulation scenarios.

Findings

Algorithm effectively generates relativistic Maxwellian variates.

Applicable to arbitrary temperatures and drift velocities.

Useful for initializing particle velocities in simulations.

Abstract

A procedure for generating random variates from a relativistic Maxwellian distribution with arbitrary temperature and drift velocity is presented. The algorithm is based on the rejection method and can be used to initialize particle velocities in kinetic simulations of plasmas and gases.