A New Monte Carlo Algorithm for Free Energy Calculation
Sheng Bi, Ning-Hua Tong
TL;DR
This paper introduces a novel Monte Carlo algorithm for free energy calculation using configuration space sampling, demonstrating high accuracy for the Ising model and potential for broader applications.
Contribution
The paper presents a new Monte Carlo method based on configuration space sampling, offering an alternative to energy-based algorithms like Wang-Landau.
Findings
Excellent agreement with exact free energy for the Ising model
Comparison shows advantages over Wang-Landau algorithm
Potential extension to quantum systems discussed
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.
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