Event-chain Monte Carlo for classical continuous spin models
Laboratoire de Physique Statistique, Ecole Normale Supérieure/PSL Research University, UPMC, Université Paris Diderot, CNRS - 24 rue Lhomond, 75005 Paris, France
Received: 28 August 2015
Accepted: 15 October 2015
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 model at low temperature, the event-chain algorithm is far superior to the other algorithms.
PACS: 02.70.Tt – Justifications or modifications of Monte Carlo methods / 75.10.Hk – Classical spin models / 75.10.Nr – Spin-glass and other random models
© EPLA, 2015