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Prog. Theor. Phys. Vol. 58 No. 2 (1977) pp. 467-481

Renormalization Group Approach to the Interfacial Order Parameter Profile near the Critical Point

Takao Ohta and Kyozi Kawasaki

Department of Physics, Kyushu University, Fukuoka 812

(Received February 10, 1977)

Abstract:

The interfacial order parameter profile near the criticfal point is studied using the renormalization group method. The equation for the order parameter profile is derived up to first order in ε= 4 - d where d is the spatial dimensionality of the system. This equation consists of two parts. One is related to the equation of state with a slight modification. The other comes from the spatial inhomogeneity of the order parameter. Our result is compared with that of Fisk and Widom in which the form of the equation of state has been postulated. An explicit solution of the equation which describes the order parameter profile is obtained. The universal amplitude of the surface tension is also evaluated using the ε-expansion technique.

URL : http://ptp.ipap.jp/link?PTP/58/467/
DOI : 10.1143/PTP.58.467

[ Full Text PDF : FREE ACCESS (960K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. a) S. Fisk and B. Widom, J. Chem. Phys. 50 (1969), 3219[CrossRef].
   b) B. Widom, in Phase Transitions and Critical Phenomena, eds. C. Domb and M. S. Green (Academic Press, London, 1972), Vol. II.
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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 60 No. 2 (1978) pp. 365-379 :

   Renormalization Group Theory of the Interfacial Roughening Transition

   Takao Ohta and Kyozi Kawasaki

2. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1174-1176 :

   Interface Structure in a Magnetic Binary Alloy

   Tatuo Kawasaki

3. Progress of Theoretical Physics Vol. 63 No. 3 (1980) pp. 821-830 :

   Critical Phenomena under Non-Uniform External Force Fields

   Kyozi Kawasaki, Takao Ohta and Akira Onuki

4. Progress of Theoretical Physics Vol. 88 No. 1 (1992) pp. 135-138 :

   A Simulation Method for Shape Transformations of a Closed Interface

   Tamotsu Kohyama

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