# Nishikawa Michel Krauth Hukushima 2015

### From Werner KRAUTH

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'''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''' | + | '''''Event-chain algorithm for the Heisenberg model: Evidence for z \sim 1 dynamic scaling''''' '''arXiv 1508.05661, to appear in Phys. Rev. E''' |

=Paper= | =Paper= |

## Revision as of 22:26, 20 November 2015

**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**

# 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 zā1 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 zā2.

Electronic version (from arXiv, modified version of an earlier paper)