Physical tests for Random Numbers in Simulations

Preprint

13 June 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9406054

Abstract

We propose three physical tests to measure correlations in random numbers used in Monte Carlo simulations. The first test uses autocorrelation times of certain physical quantities when the Ising model is simulated with the Wolff algorithm. The second test is based on random walks, and the third on blocks of n successive numbers. We apply the tests to show that recent errors in high precision simulations using generalized feedback shift register algorithms are due to short range correlations in random number sequences. We also determine the length of these correlations.

Keywords

MONTE CARLO SIMULATIONS
MODEL IS SIMULATED
NUMBER SEQUENCES
PHYSICAL TESTS
RANDOM NUMBER
RANDOM WALKS
ALGORITHMS
NUMBERS
WALKS

All Related Versions

Version 1, 1994-06-13, ArXiv
Published version: Physical Review Letters, 73 (19), 2513.

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