Speeding up parallel tempering simulations

Abstract

We discuss methods that allow to increase the step-size in a parallel tempering simulation of statistical models and test them at the example of the three-dimensional Heisenberg spin glass. We find an overall speed-up of about two for contemporary lattices.

12 pages, 1 figure, final version, minor changes and references added

References in corpus (9)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Parallel Tempering: Theory, Applications, and New Perspectives
• Trivializing maps, the Wilson flow and the HMC algorithm
• Feedback-optimized parallel tempering Monte Carlo
• The critical behavior of three-dimensional Ising spin glass models
• Make life simple: unleash the full power of the parallel tempering algorithm
• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
• Robust Parameter Selection for Parallel Tempering

Cited by in corpus (7)

• Performance potential for simulating spin models on GPU
• Topological critical slowing down: variations on a toy model
• Entropy production at criticality in a nonequilibrium Potts model
• Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses
• Optimized GPU simulation of continuous-spin glass models
• Estimating equilibrium ensemble averages using multiple time slices from driven nonequilibrium processes: theory and application to free energies, moments, and thermodynamic length in single-molecule pulling experiments
• Describing phase transitions in field theory by self-similar approximants