Hierarchical Monte Carlo simulation of the Ising model

M. Faas and H.J. Hilhorst

Physica A: Statistical Mechanics and its Applications, 1986, vol. 135, issue 2, 571-590

Abstract: We pursue Schmidt's recent idea to generate Ising spin configurations via a hierarchical Monte Carlo procedure. The method is modified and improved, and applied to the two-dimensional Ising model at criticality. The system size dependence is investigated. For a 32×32 lattice the autocorrelation functions of the energy and the squared magnetization decay faster than with the standard method by a factor in the range of 3 to 10. On the basis of a number of plausible hypotheses we construct a theoretical framework within which the hierarchical method can be understood.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:135:y:1986:i:2:p:571-590

DOI: 10.1016/0378-4371(86)90161-5

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