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Layering transitions in Ising model thin films. A real space renormalization group analysis

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  • Benyoussef, A.
  • Ez-Zahraouy, H.

Abstract

Within an extension of Migdal's method and mean field theory we study the layering transitions temperature, TL, for a spin 12 Ising model under uniform and variable magnetic field in a film of finite thickness limited by a single substrate. General formula are given for an arbitrary number N of layers. Phase diagrams are given for N = 3.

Suggested Citation

  • Benyoussef, A. & Ez-Zahraouy, H., 1994. "Layering transitions in Ising model thin films. A real space renormalization group analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(1), pages 196-206.
    • Handle: RePEc:eee:phsmap:v:206:y:1994:i:1:p:196-206
    DOI: 10.1016/0378-4371(94)90125-2
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    1. Binder, K., 1986. "Decay of metastable and unstable states: Mechanisms, concepts and open problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 35-43.
    2. J.P. Landau, 1988. "Quelles perspectives pour 1992? Table ronde: P. Artus C. de Boissieu G. Étrillard J.P. Fitoussi J.P. Landau P.A. Muet," Revue Française d'Économie, Programme National Persée, vol. 3(1), pages 133-144.
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