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Prog. Theor. Phys. Vol. 54 No. 4 (1975) pp. 1021-1027

Random Mixtures in Annealed and Quenched Ising Bond Model

Andrzej Pekalski and Takehiko Oguchi^*

Institute of Theoretical Physics, University of Wroctaw, Poland
^*Department of Physics, Tokyo Institute of Technology, Tokyo

(Received February 12, 1975)

Abstract:

The two-dimensional Ising model with two kinds of bonds –ferro and antiferromagnetic– is investigated in both quenched and annealed approximations. High temperature series expansion technique is used to get the respective free energies and susceptibilities. Form the analysis of the ratio method results, the phase diagrams are drawn and critical concentrations are estimated. It is shown that in both approximations the system behaves similarly, although in the annealed case the magnetically ordered phases are more stable against increasing impurity concentration. It is also proved that for Bethe lattices initial susceptibilities for quenced and annealed systems coincide.

URL : http://ptp.ipap.jp/link?PTP/54/1021/
DOI : 10.1143/PTP.54.1021

[ Full Text PDF : FREE ACCESS (562K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. F. Matsubara, Prog. Theor. Phys. 51 (1974), 378[PTP].
2. Y. Kasai, S. Miyazima and I. Shozi, Prog. Theor. Phys. 42 (1969), 1[PTP].
3. Y. Kasai and I. Syozi, Prog. Theor. Phys. 50 (1973), 1182[PTP].
4. D. C. Rapaport, J. Phys. C 5 (1972), 1830[IoP STACKS]; ibid. 5 (1972), 2813[IoP STACKS].
5. S. Katsura and F. Matsubara, Can. J. Phys. 52 (1974), 120.

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 672-682 :

   Theory of Random Magnetic Mixture. III

   Fumitaka Matsubara and Masateru Sakata

2. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1049-1063 :

   Random Mixture of the Ising Magnets in a Magnetic Field

   Shigetoshi Katsura

3. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 434-451 :

   Susceptibility and Specific Heat in the Glass-Like Phase

   Shigetoshi Katsura

4. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 434-442 :

   Annealed Ising Bond-Mixture on the Pyrite Lattices

   Shigetoshi Katsura and Takahiro Imaizumi

5. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 689-692 :

   High Temperature Series Expansion of the Susceptibility of the d-Dimensional Random Ising Model

   Shigeru Okamoto, Takehiko Oguchi and Yohtaro Ueno

6. Progress of Theoretical Physics Supplement No.69 (1980) pp. 137-145 :

   Generalized Susceptibilities for the Random Bond System of the Ferromagnetic and Antiferromagnetic Exchange Interactions

   Takehiko Oguchi and Shigeru Okamoto

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