Thermodynamics of Particle Systems Related to Random Matrices
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概要
- 論文の詳細を見る
In the theory of random matrices, the eigenvalue statistics of Hamiltonianensembles is reduced to one-dimensional classical statistical mechanics oflogarithmically interacting particles. Corresponding to one-body external potentials,there may be infinite number of ensembles related to orthogonal polynomials. Gaus-sian ensembles, which are related to the Hermite polynomials, are usually adopted.We choose general classical orthogonal polynomials and get a wider class of statisticalensembles. The partition functions for these ensembles are given by Selberg's integralformula. We discuss the thermodynamic limit of this formula and evaluate the freeenergies, the internal energies, the entropies and the specific heats.
- 社団法人日本物理学会の論文
- 1991-06-15
著者
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Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
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Wadati M
Univ. Tokyo
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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NAGAO Taro
Department of Physics,Graduate School of Science,Osaka University
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Nagao T
Gunma Univ. Gunma
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Nagao Taro
Department Of Physics Faculty Of Science Osaka University
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