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Prog. Theor. Phys. Vol. 61 No. 4 (1979) pp. 1023-1033
Pseudo-Critical Dynamics in First-Order Transitions
Hiroshi Ikeda
Department of Physics, University of Tokyo, Tokyo 113
(Received November 18, 1978)
Abstract:
Simple arguments are presented about critical-like phenomena associated with first-order phase transitions in systems described by non-conserved order parameters. A mean field theory gives a type of critical phenomena near the spinodal point, which is determined by a “pseudo-free-energy” and a “pseudo-order-parameter”. Above the spinodal point, the problem is reduced to that of transient phenomena near the marginal case, whose time scale is prescribed by the imaginary part of the pseudo-order-parameter. Effects of fluctuations and possibilities of the observation are briefly discussed.
URL :
http://ptp.ipap.jp/link?PTP/61/1023/
DOI : 10.1143/PTP.61.1023
References:
-
B. Chu, F. J. Schoenes and M. E. Fisher, Phys. Rev. 185 (1969), 219[APS].
- Y. Saito, Prog. Theor. Phys. 59 (1978), 375[PTP].
-
M. E. Fisher, Rev. Mod. Phys. 46 (1974), 597[APS].
-
J. W. Cahn, J. Chem. Phys. 42 (1965), 93[CrossRef].
A. J. Schwartz, J. S. Huang and W. I. Goldburg, J. Chem. Phys. 62 (1975), 1847[CrossRef].
-
B. I. Halperin, P. C. Hohenberg and S. Ma, Phys. Rev. B 10 (1974), 139[APS].
-
M. Suzuki and R. Kubo, J. Phys. Soc. Jpn. 24 (1968), 51[JPSJ].
- K. Honda and H. Nakano, Prog. Theor. Phys. 59 (1978), 1014[PTP]; Bussei Kenkyu (in Japanese) 29 (1978), F15.
- M. Suzuki, Int. J. Magnetism 1 (1971), 123.
- M. Suzuki and H. Ikeda, Prog. Theor. Phys. 55 (1976), 2041[PTP].
-
Z. Rácz, Phys. Rev. B 13 (1976), 263[APS].
- H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University, New York, 1971).
- S. Ma, Modern Theory of Critical Phenomena (Benjamin, New York, 1976).
-
K. Binder, Phys. Rev. B 8 (1973), 3423[APS].
-
R. Kubo, K. Matsuo and K. Kitahara, J. Stat. Phys. 9 (1973), 51[CrossRef].
- M. Suzuki, Prog. Theor. Phys. 56 (1976), 77[PTP]; ibid. 56 (1976), 477[PTP]; ibid. 57 (1977), 380[PTP]; J. Stat. Phys. 16 (1977), 11; ibid. 16 (1977), 477.
- S. Chandrasekhar, Liquid Crystals (Cambridge U. P., London, England, 1977).
-
H. C. Bolton and C. A. Leng, Phys. Rev. B 11 (1975), 2069[APS].
-
J. C. Beers, II and L. Guttman, Phys. Rev. B 9 (1974), 3941[APS].
-
M. F. Collins and T. C. Teh, Phys. Rev. Lett. 30 (1973), 781[APS].
-
I. Hatta and M. Shibuya, J. Phys. Soc. Jpn. 45 (1978), 487[JPSJ].
- H. Ikeda, Prog. Theor. Phys. 61 (1979), 683[PTP].
-
Z. Rácz and M. F. Collins, Phys. Rev. B 11 (1975), 2564[APS].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 42-50
:
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Pseudo-Critical Phenomena in the Fisher-Domb Cluster Model
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Hiroshi Ikeda