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Collective Monte Carlo Updating for Spin Systems

Ulli Wolff
Phys. Rev. Lett. 62, 361 – Published 23 January 1989
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Abstract

A Monte Carlo algorithm is presented that updates large clusters of spins simultaneously in systems at and near criticality. We demonstrate its efficiency in the two-dimensional O(n) σ models for n=1 (Ising) and n=2 (xy) at their critical temperatures, and for n=3 (Heisenberg) with correlation lengths around 10 and 20. On lattices up to 1282 no sign of critical slowing down is visible with autocorrelation times of 1-2 steps per spin for estimators of long-range quantities.

  • Received 13 October 1988

DOI:

Authors & Affiliations

Ulli Wolff

  • Institut für Theoretische Physik, Universität Kiel, D-2300 Kiel, West Germany

References

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Issue

Vol. 62, Iss. 4 — 23 January 1989

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