On the Free Energy Monte Carlo algorithm

1997/03/27 by M. J. Thill, Thill, M. J.
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9703234

Uses aps, epsf, and revtex; 7 figures

arxiv created 1997/03/27 · openalex publication_date 1997/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, I investigate more closely the recently proposed Free Energy Monte Carlo algorithm that is devised in particular for calculations where conventional Monte Carlo simulations struggle with ergodicity problems. The simplest version of the proposed algorithm allows for the determination of the entropy function of statistical systems and/or performs entropy sampling at sufficiently large times. I also show how this algorithm can be used to explore the system's energy space, in particular for minima.

Related

• A new old algorithm, entropy sampling, and/or getting in and out of energy minima
• Metropolis and Wang-Landau Algorithms
• Efficient Monte Carlo Simulation Methods in Statistical Physics
• The energy-stepping Monte Carlo method: an exactly symmetry-preserving, a Hamiltonian Monte Carlo method with a 100% acceptance ratio
• Free energy computations by minimization of Kullback-Leibler divergence: an efficient adaptive biasing potential method for sparse representations