New Procedure of Numerical Simulation of Long-Range Correlations and Energy Gaps by Stochastic Quantization : Fixed Potential Model and O(3) Nonlinear σ-Model : Particles and Fields
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概要
- 論文の詳細を見る
A new procedure of numerical simulation by the Parisi-Wu stochastic quantization method is proposed to obtain long-range correlations and energy gaps. We first observe that the original Parisi's procedure of numerical simulation can give us a remarkable merit for a fixed potential model and the O(N≧4) nonlinear σ-model but not so much for the O(3) nonlinear σ-model, in comparison with the conventional Monte Carlo methods based on path integral formulas. examining behaviors of correlation functions in updating processes, we find that the situation is much improved if the external source to generate correlation functions in its linear response is switched on after reaching thermal equilibrium, and even more if this swithcing-on procedure is appropriately repeated several times. In fact, the new procedure enables us to obtain correlation functions covering the whole lattice region and correspondingly accurate energy gaps, through updation steps much smaller than by the conventional Monte Carlo methods, in the case of O(3) nonlinear σ-model on a 12×12 and a 20x20 lattices while those obtained by the original Parisi's procedure of the stochastic quantization or by the conventional Monte Carlo cover only a few sites as is well known. Even in the scaling region (β=1.5) the new procedure gives correlation functions covering about 20 sites and corresponding mass gap m_g/∧_L=110 ±5 for the lattice with 50×50 sites.
- 理論物理学刊行会の論文
- 1986-08-25
著者
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TANAKA Satoshi
Department of Physical Science, Osaka Prefecture University
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NAMIKI Mikio
Department of Integrative Cancer Therapy and Urology, Kanazawa University Graduate School of Medical
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Tanaka Satoshi
Department Of Nutritional Sciences Faculty Of Nutritional Science Nakamura Gakuen University
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OKANO Keisuke
Department of Physics, Waseda University
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Tanaka Sho
Atomic Energy Research Institute Nihon University
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OHBA Ichiro
Department of Physics, Waseda University
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OHBA Ichiro
Physics Department, Waseda University
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Ohba I
Waseda Univ. Tokyo
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RIKIHISA Masanori
Department of Physics, Waseda University
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Namiki Mikio
Department Of Applied Physics And Science And Engineering Research Laboratory Waseda University
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Ohba Ichiro
Department Of Physics And Science And Engineering Research Laboratory Waseda University
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Okano Keisuke
Department Of Physics Waseda University
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Rikihisa Masanori
Department Of Physics Waseda University
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Tanaka S
Kobe Univ. Kobe Jpn
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Ohba Ichiro
Department Of Applied Physics Waseda University
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Namiki Mikio
Department Of Applied Physics : Science And Engineering Research Laboratory Waseda University
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Tanaka Satoshi
Department Of Anesthesia Nagano Municipal Hospital
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Tanaka Satoshi
Department Of Agricultural Chemistry Faculty Of Agriculture Tottori University
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TANAKA Sho
Atomic Energy Research Institute, Nihon University
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TANAKA Satoshi
Department of Physics, Waseda University
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TANAKA Satoshi
Department of Physics, Tohoku University
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TANAKA Satoshi
Department of Physics, Faculty of Science and Technology, Kinki University
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TANAKA Satoshi
Physical Laboratory, Faculty of Science and Technology Kinki University
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TANAKA Satoshi
Physics Laboratory, Faculty of Science and Technology, Kinki University
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TANAKA Shun-Ichi
Faculty of Human Development, Division of Sciences for Natural Environment Kobe University
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OHBA Ichiro
Department of Physics, Waseda University:Kagami Memorial Laboratory for Materials Science and Technology, Waseda University:Advanced Research Center for Science and Technology, Waseda University
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OHBA Ichiro
Dapartment of Physics, Waseda University
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