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Prog. Theor. Phys. Vol. 63 No. 3 (1980) pp. 821-830
Critical Phenomena under Non-Uniform External Force Fields
Kyozi Kawasaki,
Takao Ohta and
Akira Onuki
Department of Physics, Kyushu University, Fukuoka 812
(Received November 30, 1979)
Abstract:
Effects of non-uniform external force fields which vary in one direction, say, along the z-axis, on critical phenomena are studied in a general way. Nature of critical phenomena depends crucially on a type of the spectrum of a one-dimensional eigenvalue problem besides the symmetry breaking nature of the force. In particular, if the external potential maintains the symmetry of the order parameter and the lowest eigenvalue is isolated, there is a crossover from the d-dimensional bulk critical phenomena to the d-1-dimentional surface critical phenomena. On the other hand, if the external potential breaks the symmetry, a sharp phase transition disappears as for the liquid-gas transition under the gravitational field. The cases with periodic external potentials are also discussed.
URL :
http://ptp.ipap.jp/link?PTP/63/821/
DOI : 10.1143/PTP.63.821
References:
-
M. R. Moldover, J. V. Sengers, R. W. Gammon and R. J. Hocken, Rev. Mod. Phys. 51 (1979), 79, [APS]and the references quoted therein.
- T. Ohta and K. Kawasaki, Prog. Theor. Phys. 58 (1977), 467[PTP].
J. Zittartz, Phys. Rev. 154 (1967), 529[APS].
J. Rudnick and D. Jasnow, Phys. Rev. B 17 (1978), 1351[APS].
-
A. J. Bray and M. A. Moore, J. Phys. A 10 (1977), 1927, [CrossRef]and the references quoted therein.
- A. Messiah, Quantum Mechanics (Wiley, New York) vol. 1. chap. III.
- C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1971).
- S. P. Malyshenko and V. I. Mika, High Temp. 12 (1974), 642.
- M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1968).
-
M. E. Fisher and H. Au-Yang, J. of Phys. C 8 (1975), L418[IoP STACKS];
Phys. Rev. B 13 (1976), 1238[APS].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 63 No. 6 (1980) pp. 1854-1864
:
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Steady States with Heat Flow near Critical Points
-
Akira Onuki
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Progress of Theoretical Physics Vol. 64 No. 6 (1980) pp. 1902-1917
:
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Helium near the Superfluid Transition under Heat Flow
-
Akira Onuki
