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Convex-envelope formulation for separable many-particle interactions

Author

Listed:
  • Perk, J.H.H.
  • Capel, H.W.
  • den Ouden, L.W.J.

Abstract

The exact result for the free energy per particle in systems described by a hamiltonian of the type NP(VN), where NVN denotes a set of short-range operators, is reformulated in terms of a convex-envelope construction. A comparison is given with results obtained for classical systems with interactions of the so-called Kac-type.

Suggested Citation

  • Perk, J.H.H. & Capel, H.W. & den Ouden, L.W.J., 1977. "Convex-envelope formulation for separable many-particle interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(3), pages 555-568.
    • Handle: RePEc:eee:phsmap:v:89:y:1977:i:3:p:555-568
    DOI: 10.1016/0378-4371(77)90081-4
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    References listed on IDEAS

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    1. den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H. & Tindemans, P.A.J., 1976. "Systems with separable many-particle interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 51-70.
    2. Brankov, J.G. & Tonchev, N.S. & Zagrebnov, V.A., 1975. "An exactly solvable model for metal-insulator phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(1), pages 125-127.
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