Event-chain algorithm for the Heisenberg model: Evidence for $z\simeq 1$ dynamic scaling

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 $z\approx 1$ 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 $z\simeq 2$.

4 pages, 5 figures

References in corpus (2)

• 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
• Markov Chain Monte Carlo Method without Detailed Balance

Cited by in corpus (29)

• Event-chain Monte Carlo: foundations, applications, and prospects
• Flow-based sampling for fermionic lattice field theories
• Piecewise Deterministic Markov Processes for Scalable Monte Carlo on Restricted Domains
• Irreversible local Markov chains with rapid convergence towards equilibrium
• Event-chain Monte Carlo algorithms for three- and many-particle interactions
• Cell-veto Monte Carlo algorithm for long-range systems
• Phase transitions and ordering structures of a model of chiral helimagnet in three dimensions
• Eigenvalue analysis of an irreversible random walk with skew detailed balance conditions
• All-atom computations with irreversible Markov chains
• Efficient Irreversible Monte Carlo samplers
• Clock Monte Carlo methods
• JeLLyFysh-Version1.0 -- a Python application for all-atom event-chain Monte Carlo
• Event-Chain Monte-Carlo Simulations of Dense Soft Matter Systems
• Event-chain Monte Carlo with factor fields
• Irreversible Markov chains in spin models: Topological excitations
• Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk
• Lifted Worm Algorithm for the Ising Model
• Hard-disk dipoles and non-reversible Markov chains
• PDMP characterisation of event-chain Monte Carlo algorithms for particle systems
• Testing the event-chain algorithm in asymptotically free models
• Anomalous diffusion analysis of the lifting events in the event-chain Monte Carlo for the classical XY models
• Irreversible swap algorithms for soft sphere glasses
• Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo
• Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality
• Simulated tempering with irreversible Gibbs sampling techniques
• The generic Mott transition in the sine-Gordon model through an embedded worm algorithm
• Accelerating Multicanonical Sampling with Irreversibility
• Phase Transitions for Cuboc Orders in Stacked Kagome Heisenberg Systems
• Monte Carlo solver and renormalization of Migdal-Eliashberg spin chain