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Prog. Theor. Phys. Supplement No.80 (1984) pp. 163-167
Exact Calculation of Free Energy of Sherrington-Kirkpatrick Model at High Temperatures Up to Terms of Order Unity
Fumihiko Takano
Institute of Physics, University of Tsukuba, Ibaraki 305
(Received September 20, 1984)
Abstract:
The free energy of the Sherrington-Kirkpatrick model for the spin glass is exactly calculated up to terms of the order of 1 at high temperatures. Some terms of the order of 1 are singular at the temperature of the spin glass or the ferromagnetic transition. The result is compared with the previous ones and the physical meanings of these singularities are discussed.
URL :
http://ptp.ipap.jp/link?PTPS/80/163/
DOI : 10.1143/PTPS.80.163
References:
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D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35 (1976), 1792[APS].
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S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17 (1978), 4384[APS].
- D. J. Thouless, P. W. Anderson and R. G. Palmer, Philos. Mag. 35 (1977), 593.
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F. Takano, T. Tamaribuchi and T. Oguchi, J. Phys. Soc. Jpn. 52 (1983), 3341[JPSJ].
