Spin-One Lattice-Gas Model

  • Jean Sivardiere


Many cooperative systems are characterized by a single order parameter and a second order phase transition at a critical point. Their thermodynamical behaviour can be simulated by a spin half Ising model with positive dipolar interactions. For instance [1]:
  • magnetic ordering in a uniaxial or isotropic system;

  • phase separation in a binary mixture;

  • condensation of a simple fluid (Lee and Yang);

  • freezing of a liquid (Lennard-Jones and Devonshire);

  • suprafluid ordering (London, Tisza [2]);

  • magnetic ordering in a two-singlet system (Bleaney, Cooper);

  • ferroelectric ordering in KDP (De Gennes);

  • ordering in molecular crystals: NH4Cl, NaNO2, ....


Binary Mixture Ising Model Ternary Mixture Critical Line Triple Line 


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    See: Huang, K. (1963). Statistical Mechanics, (John Wiley, New York).Google Scholar
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    Lajzerowicz, J. and Sivardière, J. (To be published).Google Scholar
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    Sivardiere, J. and Lajzerowicz, J. (To be published).Google Scholar
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    For a review of the properties of binary fluids, see: Rowlinson, J.S. (1966). In Handbuch der Physik, Vol. XXI, (Springer-Verlag, Berlin-Heidelberg).Google Scholar
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    Widom, B. (1973). J. Phys. Chem., 77, 2196.CrossRefGoogle Scholar
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Copyright information

© Plenum Press, New York 1976

Authors and Affiliations

  • Jean Sivardiere
    • 1
  1. 1.Départment de Recherche FondamentaleCentre d’Etudes NucléairesGrenoble CedexFrance

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