@article{87dbf37831c444d99cd4f1249eba495e,
title = "Systematic errors due to linear congruential random-number generators with the Swendsen-Wang algorithm: A warning",
abstract = "The evidence for systematic errors that occur due to linear congruential random number generators and the diagnosis of their origin were presented. The implementation of Swendsen-Wang algorithms was also modified to eliminate these systematic errors. The errors arised from correlations within a single bond-update half-sweep. They can be eliminated by updating the bonds in a random order or in aperiodic manner.",
author = "Giovanni Ossola and Sokal, {Alan D.}",
note = "Funding Information: We wish to thank Henk Bl{\"o}te, Lu{\'i}s Antonio Fern{\'a}ndez, Werner Kerler, Juan Ruiz-Lorenzo, Lev Shchur, and Jian-Sheng Wang for valuable correspondence and for sharing their unpublished data; Mulin Ding and Raj Sivanandarajah for efficient assistance with numerous aspects of the Physics Department computing system; and Rom{\'a}n Scoccimarro for generously letting us do some test runs on his DEC Alpha computer. This research was supported in part by U.S. National Science Foundation Grants No. PHY-0099393 and No. PHY-0116590.",
year = "2004",
month = aug,
doi = "10.1103/PhysRevE.70.027701",
language = "English (US)",
volume = "70",
pages = "027701--1--027701--4",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "2 2",
}