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Prog. Theor. Phys. Vol. 57 No. 4 (1977) pp. 1197-1208
Equation of State in 1/n Expansion
— n-Vector Model in the Presence of Magnetic Field
—
Ryuzo Abe and
Shinobu Hikami*
Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153
*Research Institute for Fundamental Physics, Kyoto University, Kyoto 606
(Received October 4, 1976)
Abstract:
The classical n-vector model in the presence of magnetic field is studied by 1/n expansion. A detailed discussion is given of the equation of state up to order 1/n. As an application, the critical temperature and a universal amplitude ratio are investigated.
URL :
http://ptp.ipap.jp/link?PTP/57/1197/
DOI : 10.1143/PTP.57.1197
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1538-1546
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Consistency for a Critical Amplitude Ratio Rχ in 1/n and ε Expansions
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Ryuzo Abe and Shinobu Hikami
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Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 1932-1938
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Scaling Function for Equation of State in 1/n and ε Expansions
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Ryuzo Abe and Sinobu Hikami
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Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 506-515
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Fixed Points of a Coupled Order System in 1/n Expansion
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Shinobu Hikami
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Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1166-1176
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Phase Transitions in Gaussian Random Magnetic Fields
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Fumihiko Tanaka
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Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 386-392
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Logarithmic Corrections to a Simple Power Law at d = 4 in 1/n Expansion
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Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 742-750
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1/n Expansion for Weakly Random System
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Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1478-1482
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Scaling Function for Equation of State
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Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1825-1833
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1/n Expansion up to Order 1/n2. I
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Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1277-1286
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1/n Expansion Up to Order 1/n2. II
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Yutaka Okabe and Michiyoshi Oku
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Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 443-451
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1/n Expansion Up to Order1/n2. IV
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Michiyoshi Oku and Yutaka Okabe
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Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1528-1540
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Spherical Limit of Coupled Time-Dependent n-Vector Models. I
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Michiyoshi Oku
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Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1179-1190
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Higher-Order Calculations for Weakly Random System in 1/n Expansion
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Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1237-1245
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d'-Dimensional Defect in d-Dimensional Lattice. I
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Ryozo Abe
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Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1835-1843
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d'-Dimensional Defect in d-Dimensional Lattice. II
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Ryuzo Abe
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Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 77-89
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Quenched System in the Spherical Limit of the Random n-Vector Model
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Michiyoshi Oku
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Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1604-1611
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1/ n Expansion for Weakly Random System with Impurity Correlation
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Kazuhisa Yamamoto and Ryuzo Abe
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Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1959-1969
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Critical Amplitude Ratio ξ0+/ξ0T in 1/n and ε Expansions
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Yutaka Okabe and Kazuo Ideura
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Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 118-130
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Gaussian Random Bond Problem for Annealed System in 1/n Expansion
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Michiyoshi Oku and Ryuzo Abe
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Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 464-479
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Higher Order Calculations for d-Dimensional Lattice with d′-Dimensional Defect
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Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1226-1239
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The 1/n Expansion for the n-Vector Model in the Semi-Infinite Space
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Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 736-745
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The 1/n Expansion for the Extraordinary Transition of Semi-Infinite System
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Kaoru Ohno and Yutaka Okabe
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Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 9-27
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1/n Expansion of the Random Easy Axis Model
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Kazuo Ideura
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Progress of Theoretical Physics Vol. 121 No. 5 (2009) pp. 897-914
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1/n Expansion of the Random Easy Axis Model. II
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