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Mean field critical behaviour for the frustrated percolation model

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  • di Liberto, F.
  • Peruggi, F.

Abstract

We give a mean field analysis for a fully frustrated (2s)-state spin model that includes Ising and Potts variables. This model has been extensively used in recent years to study the frustrated percolation and the glassy transition. In fact it exhibits a percolation transition Tp and a second thermal transition at an equal or lower temperature Tc.

Suggested Citation

  • di Liberto, F. & Peruggi, F., 1998. "Mean field critical behaviour for the frustrated percolation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 273-287.
    • Handle: RePEc:eee:phsmap:v:248:y:1998:i:3:p:273-287
    DOI: 10.1016/S0378-4371(97)00452-4
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    References listed on IDEAS

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    1. Cataudella, V. & Coniglio, A. & de Arcangelis, L. & di Liberto, F., 1993. "Cluster formulation for frustrated spin models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 167-174.
    2. Tucker, J.W. & Saber, M. & Peliti, L., 1994. "A new technique in the effective field theory of general spin S dilute Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 497-507.
    3. Stanley, H.E. & Coniglio, A. & Havlin, S. & Lee, J. & Schwarzer, S. & Wolf, M., 1994. "Diffusion limited aggregation: a paradigm of disorderly cluster growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(1), pages 254-271.
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    PACS:05.50;

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