Make life simple: unleash the full power of the parallel tempering algorithm

TL;DR

This paper presents a new update scheme for parallel tempering that adapts the number of sweeps based on autocorrelation times, significantly improving simulation efficiency for models like the Ising and spin glass.

Contribution

The authors introduce a systematic method to enhance parallel tempering efficiency by optimizing replica exchange intervals without dynamic temperature adjustments.

Findings

Reduced replica round-trip times in simulations

Achieved approximately 50% exchange rate between adjacent replicas

Improved efficiency demonstrated on Ising and spin glass models

Abstract

We introduce a new update scheme to systematically improve the efficiency of parallel tempering simulations. We show that by adapting the number of sweeps between replica exchanges to the canonical autocorrelation time, the average round-trip time of a replica in temperature space can be significantly decreased. The temperatures are not dynamically adjusted as in previous attempts but chosen to yield a 50% exchange rate of adjacent replicas. We illustrate the new algorithm with results for the Ising model in two and the Edwards-Anderson Ising spin glass in three dimensions