A New Monte Carlo Algorithm for Free Energy Calculation

Abstract

We propose a new Monte Carlo algorithm for the free energy calculation based on configuration space sampling. We implement this algorithm for Ising model. Comparison with the exact free energy shows an excellent agreement. We analyse the properties of this algorithm and compares it with Wang-Landau algorithm which samples in energy space. This method is applicable to classical statistical models. The possibility of extending it to quantum systems is discussed.

5 pages, 5 figures

References in corpus (4)

• Continuous-time Monte Carlo methods for quantum impurity models
• A generic, hierarchical framework for massively parallel Wang-Landau sampling
• Analysis of the convergence of the 1/t and Wang-Landau algorithms in the calculation of multidimensional integrals
• Flat histogram diagrammatic Monte Carlo method

Cited by in corpus (3)

• Hamiltonian simulation of the Schwinger model at finite temperature
• Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
• Efficient sampling using Macrocanonical Monte Carlo and density of states mapping