Math 2.0

Statistical mechanics, structure of matter Computational and analytical techniques Concept

Wolff algorithm

Summary

The Wolff algorithm is a single-cluster Monte Carlo method for spin models such as the Ising model. It grows one cluster of aligned spins from a random seed, using the same bond probability as the Swendsen–Wang algorithm, and flips the whole cluster. Every proposed flip is accepted, and large clusters are flipped more often because a random seed is more likely to land in them. Near the critical point it reduces critical slowing down even more than Swendsen–Wang in many models.

Further reading

  1. Web https://en.wikipedia.org/wiki/Wolff_algorithm
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MSC82M31, 82B20, 65C05
SpecializesMonte Carlo method in statistical physics
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Changed3 November 2026

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