Improvement of efficiency in generating random U(1) variables with Boltzmann distribution in Monte Carlo calculations

Tetsuya Hattori, Hideo Nakajima

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

A simple algorithm for generating random U(1) variables with Boltzmann distribution is presented. The rejection method and a transformation of variables are combined to obtain high acceptance rate and high speed for all range of temperatures of coupling parameters. Results of computer runs are presented to illustrate the efficiency. A method to find such algorithms is also presented, which may be applicable to other distributions of interest in Monte Carlo simulations.

Original languageEnglish
Pages (from-to)635-637
Number of pages3
JournalNuclear Physics B (Proceedings Supplements)
Volume26
Issue numberC
DOIs
Publication statusPublished - 1992
Externally publishedYes

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Boltzmann distribution
acceptability
rejection
high speed
simulation
temperature

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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abstract = "A simple algorithm for generating random U(1) variables with Boltzmann distribution is presented. The rejection method and a transformation of variables are combined to obtain high acceptance rate and high speed for all range of temperatures of coupling parameters. Results of computer runs are presented to illustrate the efficiency. A method to find such algorithms is also presented, which may be applicable to other distributions of interest in Monte Carlo simulations.",
author = "Tetsuya Hattori and Hideo Nakajima",
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