Journal of Statistical Physics

, Volume 31, Issue 2, pp 389–407 | Cite as

Remarks on the independence of the free energy from crystalline boundary conditions in the two-dimensional one-component plasma

  • S. Albeverio
  • D. Dürr
  • D. Merlini
Articles

Abstract

We study the two-dimensional one-component plasma. We show that given a bound on the one-particle correlation functions in the thermodynamic limit the canonical free energy is independent or free of the Dobrushin-type boundary conditions obtained by putting outside the vessel a regular configuration of fixed charges.

Key words

Statistical mechanics two-dimensional classical Coulomb systems one-component plasma Dobrushin boundary conditions free energy two-dimensional crystals jellium 

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • S. Albeverio
    • 1
  • D. Dürr
    • 1
  • D. Merlini
    • 1
  1. 1.Mathematisches InstitutRuhr-UniversitätBochum 1Federal Republic of Germany

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