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Critical-exponent renormalization, first-order transitions and demagnetizing effects for Schofield's linear model

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  • Den Ouden, L.W.J.
  • Capel, H.W.
  • Perk, J.H.H.

Abstract

The critical behaviour of a reference system with short-range interactions under small perturbations is investigated in detail for the special case of two (relevant) thermodynamic fields h1 and h2. As reference system we choose Schofield's linear model and we consider perturbations of the type ∏1m12 + ∏2m22, where m1 and m2 are thermodynamic variables conjugate to the fields h1 and h2. Explicit estimates are given for the four different regimes of critical-exponent renormalization, in the special case that ∏1>0, ∏2>0. In general there can be first- and second-order transitions in the neighbourhood of the critical point of the reference system between two “normal” phases and a “demagnetizing” phase. The various types of phase diagrams are presented.

Suggested Citation

  • Den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H., 1981. "Critical-exponent renormalization, first-order transitions and demagnetizing effects for Schofield's linear model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 53-85.
    • Handle: RePEc:eee:phsmap:v:105:y:1981:i:1:p:53-85
    DOI: 10.1016/0378-4371(81)90063-7
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    References listed on IDEAS

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    1. Gessaman, Paul H. & Rose, Gordon D., 1971. "Problems of Measurement and Assessment of the Adequacy of Community Services: A Native Viewpoint," Staff Papers 237405, University of Nebraska-Lincoln, Department of Agricultural Economics.
    2. Ghislain Deleplace, 1976. ""Production de marchandises par des marchandises." Une critique de l'économie politique ricardienne," Cahiers d'Économie Politique, Programme National Persée, vol. 3(1), pages 37-54.
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