Phys. Rev. E 55, R4905–R4908 (1997)

Cluster Monte Carlo: tScaling of systematic errors in the two-dimensional Ising model

Abstract

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Lev N. Shchur¹ and Henk W. J. Blöte²
¹Landau Institute for Theoretical Physics, 117940 GSP-1 Moscow V-334, Russia
²Laboratory of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands

We present an extensive analysis of systematic deviations in Wolff cluster simulations of the critical Ising model, using random numbers generated by binary shift registers. We investigate how these deviations depend on the lattice size, the shift-register length, and the number of bits correlated by the production rule. They appear to satisfy scaling relations.

URL:

http://link.aps.org/doi/10.1103/PhysRevE.55.R4905

DOI:

10.1103/PhysRevE.55.R4905

PACS:

02.70.Lq, 02.50.Ng, 05.50.+q, 06.20.Dk

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Phys. Rev. E 55, R4905–R4908 (1997)

Cluster Monte Carlo: tScaling of systematic errors in the two-dimensional Ising model