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Prog. Theor. Phys. Vol. 58 No. 6 (1977) pp. 1679-1691

Order-Parameter Expansion of Free Energy and Its Application to Some Models with First and Second Order Phase Transitions

Shigeo Naya and Shinji Nambu

Department of Physics, Kwansei Gakuin University, Uegahara, Nishinomiya 662

(Received April 25, 1977)

Abstract:

A statistical-mechanical theory for the order-parameter expansion of free energy, whose expansion coefficients are expressed in terms of cumulant averages of microscopic random variables, is presented in the mean field approximation. The theory can easily be extended to the cases of the complex order-parameter as well as the three-dimensional one. As applications of present theory, the order of phase transitions is investigated on simple order-disorder models with one-dimensional order-parameter and on a polyorientational phase transition of dipolar system with three-dimensional order-parameter.

URL : http://ptp.ipap.jp/link?PTP/58/1679/
DOI : 10.1143/PTP.58.1679

[ Full Text PDF : FREE ACCESS (952K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Journal of the Physical Society of Japan 63 (1994) pp. 904-914 :

   Orientational Phase Transition and Dynamic Susceptibility of Hindered-Rotating Dipolar System –A Librator-Rotator Model–

   Yoshiki Nakajima and Shigeo Naya

2. Journal of the Physical Society of Japan 63 (1994) pp. 3619-3628 :

   Phase Transition and Dynamic Susceptibility of the Anharmonic Oscillator System –An Effective Analysis of Double Morse Potential Based on the Unified Oscillator Model–

   Yoshiki Nakajima and Shigeo Naya

3. Journal of the Physical Society of Japan 64 (1995) pp. 4646-4652 :

   Landau Free Energy in the Mean-Field Approximation for Coupled Classical Anharmonic Oscillators

   Sumiaki Wada and Yositaka Onodera

4. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 327-341 :

   Phase Transitions in Assembly of Many Identical Systems with Tunneling Motions

   Satoshi Tanaka

5. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1098-1111 :

   Order Parameter Expansion of Free Energy and Spin-Glasses. I

   Shinji Nambu and Shigeo Naya

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