An Efficient Monte-Carlo Method for Calculating Free-Energy in Long-Range Interacting Systems
Abstract
We present an efficient Monte-Carlo method for long-range interacting systems to calculate free energy as a function of an order parameter. In this method, a variant of the Wang-Landau method regarding the order parameter is combined with the stochastic cutoff method, which has recently been developed for long-range interacting systems. This method enables us to calculate free energy in long-range interacting systems with reasonable computational time despite the fact that no approximation is involved. This method is applied to a three-dimensional magnetic dipolar system to measure free energy as a function of magnetization. By using the present method, we can calculate free energy for a large system size of spins despite the presence of long-range magnetic dipolar interactions. We also discuss the merits and demerits of the present method in comparison with the conventional Wang-Landau method in which free energy is calculated from the joint density of states of energy and order parameter.
Keywords
Cite
@article{arxiv.1102.0134,
title = {An Efficient Monte-Carlo Method for Calculating Free-Energy in Long-Range Interacting Systems},
author = {Kazuya Watanabe and Munetaka Sasaki},
journal= {arXiv preprint arXiv:1102.0134},
year = {2015}
}
Comments
4 pages, 3 figures; abstract, a portion of text, and Figure 3 are changed