Bifurcation of Crystalline Solutions and Freezing
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概要
- 論文の詳細を見る
The nonlinear integral equation for the singlet distribution function, deduced from the first equation of the BBGKY hierarchy on the assumption that the difference in short range correlation between fluid and crystalline solid may be ignored. is solved near the bifurcation point for a system of hard spheres. The bifurcation point is the point at which crystalline solutions branch off continuously from the fluid solution, and has been recently obtained by Raveche and Stuart. The branch of the solution with face-centered cubic symmetry is shown to grow in a direction of decreasing density near bifurcation. This is not surprising. because freezing is a first order phase transition. It is argued that the crystalline state for this solution is unstable and the bifurcation point does not represent the metastability limit of the crystalline phase. Cases in which the integral equation has different kernels are also discussed in relation to the fluid instability.
- 理論物理学刊行会の論文
- 1978-02-25
著者
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KUDO Hiroaki
Department of Media Science, Graduate School of Information Science, Nagoya University
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Kudo Hiroaki
Department Of Physics Kyushu University
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YOSHIDA Takeshi
Department of Gastroenterology, Hokkaido University Graduate School of Medicine
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Yoshida Takeshi
Department Of Epidemiology Medical Research Institute Tokyo Medical And Dental University
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Yoshida Takeshi
Department Of Physics Kyushu University
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Yoshida Takeshi
Department Of Biochemistry Hokkaido University School Of Dentistry
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KUDO Hiroaki
Department of Physics, Kyushu University
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YOSHIDA Tatsuo
Faculty of Science, Ibaraki University
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YOSHIDA Tatsuo
Faculty of Sciences, Ibaraki University
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Yoshida Takeshi
Department of Applied Physics, Graduate School of Engineering, Osaka University, Suita, Osaka 565-0871, Japan
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YOSHIDA Takeshi
Department of Physics, Kyushu University
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Yoshida Takeshi
Department of Applied Chemistry, Faculty of Engineering, Kanagawa University
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