Event-chain algorithm for the Heisenberg model: Evidence for z≃1 dynamic scaling

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Yoshihiko NishikawaKoji Hukushima

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. We show that the event-chain Monte Carlo algorithm substantially reduces the dynamical critical exponent from the conventional value of z≃2.

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Citations

Dec 30, 2017·Physical Review Letters·Sebastian C Kapfer, Werner Krauth
May 14, 2016·Physical Review. E·Yuji Sakai, Koji Hukushima
May 16, 2018·Physical Review. E·Eren Metin ElçiYoujin Deng
May 22, 2019·Physical Review. E·Ze LeiA C Maggs
Oct 16, 2016·Physical Review. E·Sebastian C Kapfer, Werner Krauth
Aug 17, 2018·The Journal of Chemical Physics·Michael F FaulknerWerner Krauth
Feb 20, 2019·Physical Review. E·Manon MichelYoujin Deng
Dec 10, 2020·The Journal of Chemical Physics·Fahim FaiziEdina Rosta
Feb 26, 2020·Journal of Chemical Theory and Computation·Fahim FaiziEdina Rosta

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