Event-chain Monte Carlo algorithm for continuous spin systems and its application

Abstract

The event-chain Monte Carlo (ECMC) algorithm is described for hard-sphere systems and general potential systems including interacting particle system and continuous spin systems. Using the ECMC algorithm, large-scale equilibrium Monte Carlo simulations are performed for a three-dimensional chiral helimagnetic model under a magnetic field. It is found that critical behavior of a phase transition changes with increasing the magnetic field.