Communications - Scientific Letters of the University of Zilina 2017, 19(3):66-70 | DOI: 10.26552/com.C.2017.3.66-70

Generation of Random Deviates for Relativistic Quantum-Statistical Distributions

Boris Tomasik1, Ivan Melo2, Jakub Cimerman3
1 Univerzita Mateja Bela, Banska Bystrica, Slovakia and FNSPE, Czech Technical University in Prague, Czech Republic
2 University of Zilina, Slovakia
3 FMFI, Comenius University, Bratislava, Slovakia

We provide an algorithm for generation of momenta (or energies) of relativistic particles according to the relativistic Bose-Einstein or Fermi-Dirac distributions. The algorithm uses rejection method with effectively selected comparison function so that the acceptance rate of the generated values is always better than 0.9. It might find its use in Monte-Carlo generators of particles from reactions in high-energy physics.

Keywords: Bose-Einstein distribution; Fermi-Dirac distribution; random number generator

Published: September 30, 2017  Show citation

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Tomasik, B., Melo, I., & Cimerman, J. (2017). Generation of Random Deviates for Relativistic Quantum-Statistical Distributions. Communications - Scientific Letters of the University of Zilina19(3), 66-70. doi: 10.26552/com.C.2017.3.66-70
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References

  1. SWISDAK, M.: The Generation of Random Variates from a Relativistic Maxwellian Distribution. Physics of Plasmas, 20, 062110, 2013. Go to original source...
  2. DEVROYE, L.: Non-Uniform Random Variete Generation, Chapter 7 [online]. Springer Verlag, New York, p. 286-357, 1986. Available: http://luc.devroye.org/rnbookindex.html. Go to original source...
  3. TOMASIK, B.: DRAGON: Monte Carlo Generator of Particle Production from a Fragmented Fireball in Ultrarelativistic Nuclear Collisions. Computer Physics Communications, 180, 1642-1653, 2009, ibid. 207, 545, 2016. Go to original source...

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