메뉴 건너뛰기




Volumn 69, Issue 13, 2004, Pages

Statistical-thermodynamic description within the ring approximation. I. Lattice-gas model

Author keywords

[No Author keywords available]

Indexed keywords

ALLOY;

EID: 42749100309     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.134431     Document Type: Article
Times cited : (11)

References (89)
  • 8
    • 33646657531 scopus 로고    scopus 로고
    • V.G. Vaks and G.D. Samolyuk, Zh. Éksp. Teor. Fiz. 115, 158 (1999) [Sov. Phys. JETP 88, 89 (1999)].
    • (1999) Sov. Phys. JETP , vol.88 , pp. 89
  • 11
  • 14
    • 0043214258 scopus 로고
    • edited by G.T. Rado and H. Suhl (Academic Press, New York)
    • R. Brout, in Magnetism, edited by G.T. Rado and H. Suhl (Academic Press, New York, 1965), Vol. IIA, p. 43.
    • (1965) Magnetism , vol.IIA , pp. 43
    • Brout, R.1
  • 25
    • 33646660996 scopus 로고    scopus 로고
    • edited by A. Meike, A. Gonis, P.E.A. Turchi, and K. Rajan (Kluwer Academic/Plenum, Dordrecht)
    • S. Shallcross and B.L. Györffy, in Properties of Complex Inorganic Solids, edited by A. Meike, A. Gonis, P.E.A. Turchi, and K. Rajan (Kluwer Academic/Plenum, Dordrecht, 2000), Vol. II, p. 89.
    • (2000) Properties of Complex Inorganic Solids , vol.2 , pp. 89
    • Shallcross, S.1    Györffy, B.L.2
  • 36
    • 33646637519 scopus 로고    scopus 로고
    • note
    • The computer code for calculation of the equilibrium free energy, LRO parameters, and the phase transition and critical temperatures within the ring approximation is available under request from the author.
  • 45
    • 0000458976 scopus 로고
    • D.A. Badalyan and A.G. Khachaturyan, Fiz. Tverd. Tela (Leningrad) 12, 439 (1970) [Sov. Phys. Solid State 12, 346 (1970)].
    • (1970) Sov. Phys. Solid State , vol.12 , pp. 346
  • 49
    • 36149022815 scopus 로고
    • J.M. Cowley, Phys. Rev. 77, 669 (1950); B.E. Warren, X-ray Diffraction (Dover, New York, 1990).
    • (1950) Phys. Rev. , vol.77 , pp. 669
    • Cowley, J.M.1
  • 50
    • 36149022815 scopus 로고
    • Dover, New York
    • J.M. Cowley, Phys. Rev. 77, 669 (1950); B.E. Warren, X-ray Diffraction (Dover, New York, 1990).
    • (1990) X-ray Diffraction
    • Warren, B.E.1
  • 51
    • 33646644717 scopus 로고    scopus 로고
    • note
    • Note that the necessity to name the approximations is caused by subsequent convenience of their citation. But the choice of the names is arbitrary and ambiguous. It is much affected by tradition. For example, the spherical model approximation for the SRO parameters is not the spherical model itself (see Sec. 3 in Ref. 36).
  • 54
    • 0002402228 scopus 로고    scopus 로고
    • V.A. Tatarenko and K.L. Tsinman, Metallofiz. Noveishie Tekhnol. 20 (3), 25 (1998) [Met. Phys. Adv. Tech. 18, 273 (1999)].
    • (1999) Met. Phys. Adv. Tech. , vol.18 , pp. 273
  • 56
    • 0001453547 scopus 로고
    • P.C. Clapp and S.C. Moss, Phys. Rev. 142, 418 (1966); 171, 754 (1968).
    • (1968) Phys. Rev. , vol.171 , pp. 754
  • 58
    • 0040901802 scopus 로고
    • V.G. Vaks, A.I. Larkin, and S.A. Pikin, Zh. Éksp. Teor. Fiz. 51, 361 (1966) [Sov. Phys. JETP 24, 240 (1966)].
    • (1966) Sov. Phys. JETP , vol.24 , pp. 240
  • 60
    • 0015616830 scopus 로고
    • U. Gahn, Z. Metallkd. 64, 268 (1973); 65, 418 (1974); J. Büth and G. Inden, Acta Metall. 30, 213 (1982).
    • (1973) Z. Metallkd. , vol.64 , pp. 268
    • Gahn, U.1
  • 61
    • 0016069260 scopus 로고
    • U. Gahn, Z. Metallkd. 64, 268 (1973); 65, 418 (1974); J. Büth and G. Inden, Acta Metall. 30, 213 (1982).
    • (1974) Z. Metallkd. , vol.65 , pp. 418
  • 62
    • 0019913135 scopus 로고
    • U. Gahn, Z. Metallkd. 64, 268 (1973); 65, 418 (1974); J. Büth and G. Inden, Acta Metall. 30, 213 (1982).
    • (1982) Acta Metall. , vol.30 , pp. 213
    • Büth, J.1    Inden, G.2
  • 63
    • 33646657925 scopus 로고    scopus 로고
    • note
    • Of course, in such a case, one can also use the ground states. However, it should be emphasized that the set of the ground states corresponding to zero temperature is helpful but cannot generally describe all the superstructures appearing at high temperatures (e.g., Sec. 5.3 in Ref. 14). Besides, the determination of the ground states is a complicated problem (e.g., Chap. 3 in Ref. 14 and Sec. 7 in Ref. 5).
  • 64
    • 33646643945 scopus 로고    scopus 로고
    • note
    • As it was done in the approximate mean-field Landau-Lifshitz theory of second-order phase transitions (see, e.g., Sec. 145 in Ref. 31 and Sec. 4.4.2 in Ref. 14).
  • 69
    • 0022899786 scopus 로고
    • U. Gahn, J. Phys. Chem. Solids 43, 977 (1982); 47, 1153 (1986).
    • (1986) J. Phys. Chem. Solids , vol.47 , pp. 1153
  • 71
    • 4243456698 scopus 로고
    • K. Binder, Phys. Rev. Lett. 45, 811 (1980); S. Kämmerer, B. Dünweg, K. Binder, and M. d'Onorio de Meo, Phys. Rev. B 53, 2345 (1996).
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 811
    • Binder, K.1
  • 73
    • 0021558444 scopus 로고
    • edited by P. Haasen, V. Gerold, R. Wagner, and M.F. Ashby (Pergamon, New York)
    • U. Gahn, G. Sauthoff, and W. Pitsch, in Decomposition of Alloys: the Early Stages, edited by P. Haasen, V. Gerold, R. Wagner, and M.F. Ashby (Pergamon, New York, 1984), p. 16; R. Kutner, K. Binder, and K.W. Kehr, Phys. Rev. B 26, 2967 (1982).
    • (1984) Decomposition of Alloys: The Early Stages , pp. 16
    • Gahn, U.1    Sauthoff, G.2    Pitsch, W.3
  • 74
    • 0001736792 scopus 로고
    • U. Gahn, G. Sauthoff, and W. Pitsch, in Decomposition of Alloys: the Early Stages, edited by P. Haasen, V. Gerold, R. Wagner, and M.F. Ashby (Pergamon, New York, 1984), p. 16; R. Kutner, K. Binder, and K.W. Kehr, Phys. Rev. B 26, 2967 (1982).
    • (1982) Phys. Rev. B , vol.26 , pp. 2967
    • Kutner, R.1    Binder, K.2    Kehr, K.W.3
  • 76
    • 33646666576 scopus 로고    scopus 로고
    • note
    • The stability of L′ structure obtained within the cluster-variation method in the case presented in Fig. 3 is not reliable (Sec. 5.2.4 in Ref. 14).
  • 77
    • 0000949413 scopus 로고
    • edited by R.W. Cahn, P. Haasen, and E.J. Kramers (VCH Verlagsgesellschaft, Weinheim)
    • G. Inden and W. Pitsch, in Materials Science and Technology, edited by R.W. Cahn, P. Haasen, and E.J. Kramers (VCH Verlagsgesellschaft, Weinheim, 1991), p. 497.
    • (1991) Materials Science and Technology , pp. 497
    • Inden, G.1    Pitsch, W.2
  • 80
    • 33646659125 scopus 로고    scopus 로고
    • note
    • In terms of the spin-1/2 Ising model, the latter fact means that the corresponding ferromagnetic phase transformation is of the first order (see Sec. 2.6 in Ref. 14 and Ref. 36).
  • 88
    • 0001441139 scopus 로고
    • edited by C. Domb and M.S. Green (Academic Press, London)
    • D.M. Burley, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, London, 1972), Vol. 2, p. 375.
    • (1972) Phase Transitions and Critical Phenomena , vol.2 , pp. 375
    • Burley, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.