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Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1236-1241
Generalized Phase Rule and Possible Singular Point Sets in Physical Systems
Kenkichi Okada
Department of Electrical and Computer Engineering,
Nagoya Institute of Technology, Nagoya 466
(Received June 22, 1987)
Abstract:
There have been phase rules of coexistence point sets (Gibbs phase rule) and of critical point sets (Griffiths phase rule) in one order parameter systems. Other than these singular point sets, we have complex singular point sets like the critical end point and the critical double point which are attracting attentions recently. The generalized phase rule has been proved for all of these singular point sets in a system with an arbitrary number of order parameters. It includes the Gibbs phase rule and the Griffiths phase rule as special cases. All possible singular point sets and their variance in relatively simple physical systems are also tabulated from the point of view of the catastrophe theory.
URL :
http://ptp.ipap.jp/link?PTP/78/1236/
DOI : 10.1143/PTP.78.1236
References:
- K. Okada, Solid State Phys. (Kotai Butsuri) 22 (1987), 25; ibid. 22 (1987), 254; ibid. 22 (1987), 392 (in Japanese). English translation is available on request.
- M. Hillert, Int. Metals Rev. 30 (1985), 45.
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R. B. Griffiths, Phys. Rev. B12 (1975), 345[APS].
- T. S. Chang, A. Hankey and H. E. Stanley, Phys. Lett. 44 (1973), 25.
- A. Aharoney, in Lecture Notes in Physics 186, ed. F. J. W. Hahne (Springer, Berlin 1983).
- K. Okada, I. Suzuki and J. L. Martinez, Phys. Lett. 102A (1984), 340.
Citing Article(s) :
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Journal of the Physical Society of Japan 58 (1989) pp. 905-913
:
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Catastrophe Theory of Two-Critical-Point System
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Kenkichi Okada
