Generation of Random Deviates for Relativistic Quantum-Statistical Distributions

  • Boris Tomasik
  • Ivan Melo
  • Jakub Cimerman
Keywords: Bose-Einstein distribution, Fermi-Dirac distribution, random number generator

Abstract

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.

Author Biographies

Boris Tomasik

Univerzita Mateja Bela, Banska Bystrica, Slovakia and FNSPE, Czech Technical University in Prague, Czech Republic

Ivan Melo

University of Zilina, Slovakia

Jakub Cimerman

FMFI, Comenius University, Bratislava, Slovakia

Published
2017-09-30
How to Cite
Tomasik, B., Melo, I., & Cimerman, J. (2017). Generation of Random Deviates for Relativistic Quantum-Statistical Distributions. Communications - Scientific Letters of the University of Zilina, 19(3), 66-70. Retrieved from http://journals.uniza.sk/index.php/communications/article/view/236
Issue
Vol 19 No 3 (2017)
Section
Articles