---

Prog. Theor. Phys. Vol. 61 No. 3 (1979) pp. 764-775

Phase Separations Accompanied by Magnetic Ordering in Binary Mixtures of Paramagnetic Atoms

Mamoru Yamashita and Huzio Nakano

Department of Applied Physics, Nagoya University, Nagoya, 464

(Received September 13, 1978)

Abstract:

By applying the symmetry breaking potential method to the grand canonical ensemble, phase separations related to the atomic and magnetic orderings in paramagnetic binary mixtures are studied in the mean field approximation and the global diagrams are investigated. The tetracritical phenomena and the coexistence of four different phases occur under suitable conditions. The results are discussed by conferring the information on the Potts-Kihara model and some discussion on the orientational phase transitions in molecular crystals is made in the light of present results.

URL : http://ptp.ipap.jp/link?PTP/61/764/
DOI : 10.1143/PTP.61.764

[ Full Text PDF : FREE ACCESS (857K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

---

References:

1. V. M. Danilenko and A. A. Smirnov, Phys. Metals Metallog. 14 (1962), 15.
   V. M. Danilenko, D. R. Rizdvyanetskiy and A. A. Smirnov, Phys. Metals Metallog. 16 (1963), 1.
   C. R. Houska, J. Phys. Chem. Solid 24 (1963), 95.
   G. M. Bell and D. A. Lavis, Phil. Mag. 11 (1965), 937.
   R. A. Tahir-Kheli and T. Kawasaki, J. of Phys. C 10 (1977), 2207[IoP STACKS].
   T. Oguchi and T. Ishikawa, J. Phys. Soc. Jpn. 42 (1977), 1477[JPSJ]; ibid. 44 (1978), 1097[JPSJ].
   T. Kawasaki and R. A. Tahir-Kheli, Prog. Theor. Phys. 58 (1977), 725[PTP].
2. J. Bernasconi and Franz Rys, Phys. Rev. B 4 (1971), 3045[APS].
   M. Wortis, Phys. Lett. A 47 (1974), 445[CrossRef].
3. M. Blume, V. J. Emery and R. B. Griffiths, Phys. Rev. A 4 (1971), 1071[APS].
   B. L. Arora and D. P. Landau, AIP Conf. Proc. 10 (1973), 870.
   W. M. Ng, J. H. Barry and T. Tanaka, Low Temperature Physics-LT13 Vol. 1, edited by T. D. Timmerhaus, W. J. O'Sullivan and E. F. Hammel (Plenum Press, New York, 1974), p. 116.
4. J. Sivardiere, Physica B+C 86-88 (1977), 613[CrossRef].
5. T. Kawasaki, Prog. Theor. Phys. 58 (1977), 1357[PTP].
6. L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon Press, London, 1959), Chap. 14.
7. R. B. Potts, Proc. Cambridge Phi. Soc. 48 (1952), 106.
   T. Kihara, Y. Midzuno and T. Shizume, J. Phys. Soc. Jpn. 9 (1954), 681[JPSJ].
8. H. Nakano and M. Hattori, Prog. Theor. Phys. 49 (1973), 1752[PTP].
9. W. Opechowski, Physica 4 (1937), 181[CrossRef].
   H. A. Kramers, Collected Scientific Papers of H. A. Kramers, edited by H. B. G. Casimir (North Holland, Amsterdam, 1965), p. 60.
10. J. Sivardière and M. Blume, Phys. Rev. B 5 (1972), 1126[APS].
11. M. Yamashita and H. Nakano, Prog. Theor. Phys. 57 (1977), 759[PTP].
12. M. Yamashita and H. Nakano, Prog. Theor. Phys. 56 (1976), 1042[PTP].
13. J. P. Straley and M. E. Fisher, J. of Phys. A 6 (1973), 1310[CrossRef].
14. R. J. Baxter, J. of Phys. C 6 (1973), L445[IoP STACKS].
15. R. V. Ditzian and J. Oitmaa, J. of Phys. A 7 (1974), L61[CrossRef].
    I. G. Enting, J. of Phys. A 7 (1974), 1617[CrossRef].
    J. P. Straley, J. of Phys. A 7 (1974), 2173[CrossRef].
    D. Kim and R. I. Joseph, J. of Phys. A 8 (1975), 891[CrossRef].
16. M. Yamashita, Prog. Theor. Phys. 61 (1979), 1287[PTP].
17. T. J. Krieger and H. M. James, J. Chem. Phys. 22 (1954), 796[CrossRef].
18. K. Ohtomi, H. Nakano and S. Homma, J. Phys. Soc. Jpn. 42 (1977), 11[JPSJ].

Citing Article(s) :

1. Journal of the Physical Society of Japan 73 (2004) pp. 2453-2457 :

   Nematic Ordering of a Liquid Crystalline Homeotropic Cell

   Muniriding Yasen, Masashi Torikai and Mamoru Yamashita

2. Progress of Theoretical Physics Vol. 61 No. 5 (1979) pp. 1287-1294 :

   Phase Transition in the Three-State Potts-Kihara Model

   Mamoru Yamashita

3. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 915-926 :

   The Phase Separation and the Diffusive Instabilities Accompanied by the Nematic-Isotropic Transition of the Liquid Crystalline Mixtures

   Kazuo Hida

4. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1137-1151 :

   Behavior of the Interface in a Magnetic Alloy

   Tatuo Kawasaki

5. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 375-388 :

   Landau Theory and the Inverse Temperature Series Expansion in the Method of Symmetry Breaking Potential

   Mamoru Yamashita

6. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1015-1028 :

   Magnetic Effects on Spinodal Decomposition

   Tatuo Kawasaki

---

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.