Event-chain Monte Carlo for classical continuous spin models

Abstract

We apply the event-chain Monte Carlo algorithm to classical continuum spin models on a lattice and clarify the condition for its validity. In the two-dimensional XY model, it outperforms the local Monte Carlo algorithm by two orders of magnitude, although it remains slower than the Wolff cluster algorithm. In the three-dimensional XY spin glass at low temperature, the event-chain algorithm is far superior to the other algorithms.

6 pages, 7 figures

References in corpus (6)

• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Markov Chain Monte Carlo Method without Detailed Balance
• Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
• Hard-sphere melting and crystallization with event-chain Monte Carlo
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