An Efficient Monte-Carlo Method for Calculating Free Energy in Long-Range Interacting Systems
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概要
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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 16^{3} 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.
- 2011-09-15
著者
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Sasaki Munetaka
Department Of Applied Physics Tohoku University
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Watanabe Kazuya
Department Of Applied Physics Osaka University
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Watanabe Kazuya
Department of Applied Physics, Tohoku University, Sendai 980-8579, Japan
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