Journal of Statistical Physics

, Volume 75, Issue 1–2, pp 215–239 | Cite as

A characterization of Gibbs states of lattice boson systems

  • Yong Moon Park
  • Hyun Jae Yoo
Articles
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Abstract

We consider lattice boson systems interacting via potentials which are superstable and regular. By using the Wiener integral formalism and the concept of conditional reduced density matrices we are able to give a characterization of Gibbs (equilibrium) states. It turns out that the space of Gibbs states is nonempty, convex, and also weak-compact if the interactions are of finite range. We give a brief discussion on the uniqueness of Gibbs states and the existence of phase transitions in our formalism.

Key Words

Lattice boson systems Wiener integral formalism superstable interaction Gibbs measures Gibbs states conditional reduced density matrix 
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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Yong Moon Park
    • 1
    • 2
  • Hyun Jae Yoo
    • 3
  1. 1.Department of MathematicsYonsei UniversitySeoulKorea
  2. 2.Institut des Hautes Études ScientifiquesBures-sur-YvetteFrance
  3. 3.Department of PhysicsYonsei UniversitySeoulKorea

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