Communications in Mathematical Physics

, Volume 35, Issue 4, pp 307–320 | Cite as

Strong cluster properties for classical systems with finite range interaction

  • M. Duneau
  • D. Iagolnitzer
  • B. Souillard


In a previous paper, “strong” decrease properties of the truncated correlation functions, taking into account the separation of all particles with respect to each other, have been presented and discussed.

In this paper, we prove these properties for finite range interactions in various situations, in particular
  1. i)

    at low activity for lattice and continuous systems,

  2. ii)

    at arbitrary activity and high temperature for lattice systems,

  3. iii)

    at ReH≠0, β arbitrary and atH=0 for appropriate temperatures in the case of ferromagnets.


We also give some general results, in particular an equivalence, on the links between analyticity and strong cluster properties of the truncated correlation functions.


Neural Network Statistical Physic Correlation Function Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • M. Duneau
    • 1
  • D. Iagolnitzer
    • 2
  • B. Souillard
    • 1
  1. 1.Centre de Physique Théorique de l'Ecole PolytechniqueParisFrance
  2. 2.Service de Physique ThéoriqueCentre d'Etudes Nucléaires de SaclayGif-sur-YvetteFrance

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