A Scaling approach to Monte Carlo Renormalization Group
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概要
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We propose a simple method of Monte Carlo renormalization group. Thermodynamic quantities of the block-spin system are analyzed phenomenologically on the basis of scaling concept. The field exponent y_H is obtained from the ratio of the square of block-spin magnetization at the fixed point, while the temperature exponent y_T is obtained as a consequence of nonlinearity of the scaling fields. In order to check the effectiveness of the method, we perform calculation on the three-dimensional Ising model. The critical temperature and the two critical exponents are estimated precisely. Finite-size effect is shown to be weak, whose origin is the regular part of the free energy density. Statistical errors of the ratios of the block-spin quantities are proved to be surprisingly small compared to those of the block-spin quantities themselves.
- 理論物理学刊行会の論文
- 1987-09-25
著者
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Okabe Y
Tokyo Metropolitan Univ. Tokyo
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Okabe Yutaka
Department Of Applied Chemistry Science And Engineering Waseda University
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Kikuchi Macoto
Department Of Physice Graduate School Of Science Osaka University
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Okabe Yutaka
Department Of Pure And Applied Sciences Universtiy Of Tokyo
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