# Nishikawa Michel Krauth Hukushima 2015

(Difference between revisions)
 Revision as of 22:26, 20 November 2015Werner (Talk | contribs)← Previous diff Current revisionWerner (Talk | contribs) Line 1: Line 1: '''Y. Nishikawa, M. Michel, W. Krauth, K. Hukushima''' '''Y. Nishikawa, M. Michel, W. Krauth, K. Hukushima''' - '''''Event-chain algorithm for the Heisenberg model: Evidence for z \sim 1 dynamic scaling''''' '''arXiv 1508.05661, to appear in Phys. Rev. E''' + '''''Event-chain algorithm for the Heisenberg model: Evidence for z \sim 1 dynamic scaling''''' ''' PHYSICAL REVIEW E 92, 063306 (2015) ''' =Paper= =Paper= Line 10: Line 10: [http://arxiv.org/pdf/1508.05661 Electronic version (from arXiv, modified version of an earlier paper)] [http://arxiv.org/pdf/1508.05661 Electronic version (from arXiv, modified version of an earlier paper)] + [http://journals.aps.org/pre/pdf/10.1103/PhysRevE.92.063306 Journal version (subscription required)] [[Category:Publication]] [[Category:Publication]]

## Current revision

Y. Nishikawa, M. Michel, W. Krauth, K. Hukushima Event-chain algorithm for the Heisenberg model: Evidence for z \sim 1 dynamic scaling PHYSICAL REVIEW E 92, 063306 (2015)

# Paper

Abstract We apply the event-chain Monte Carlo algorithm to the three-dimensional ferromagnetic Heisenberg model. The algorithm is rejection-free and also realizes an irreversible Markov chain that satisfies global balance. The autocorrelation functions of the magnetic susceptibility and the energy indicate a dynamical critical exponent z≈1 at the critical temperature, while that of the magnetization does not measure the performance of the algorithm. This seems to be the first report that the event-chain Monte Carlo algorithm substantially reduces the dynamical critical exponent from the conventional value of z≃2.