Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses Academic Article uri icon

abstract

  • We present the results of a large-scale numerical study of the equilibrium three-dimensional Edwards-Anderson Ising spin glass with Gaussian disorder. Using parallel tempering (replica exchange) Monte Carlo we measure various static, as well as dynamical quantities, such as the autocorrelation times and round-trip times for the parallel tempering Monte Carlo method. The correlation between static and dynamic observables for 5000 disorder realizations and up to 1000 spins down to temperatures at 20% of the critical temperature is examined. Our results show that autocorrelation times are directly correlated with the roughness of the free-energy landscape.

altmetric score

  • 1.5

author list (cited authors)

  • Yucesoy, B., Machta, J., & Katzgraber, H. G.

citation count

  • 17

publication date

  • January 2013