Journal of Statistical Physics

, Volume 38, Issue 5–6, pp 823–850 | Cite as

Two-body correlations and pair formation in the two-dimensional Coulomb gas

  • J. P. Hansen
  • P. Viot


We investigate pair correlations in the two-dimensional Coulomb gas made up of two species of point ions carrying electric charges Z1e(>0) and Z2e(<0), and interaction by the logarithmic Coulomb potential. This system is known to be classically stable for couplingsΓ=e2/kBT<Tc=2/¦Z1Z2¦ (whereT is the temperature). Correlations between equally charged ions are shown to be greatly modified at short distances, in the rangeΓc/2<Γ<Γc, due to gradual ion “condensation.” The usual integral equations for the pair correlation functions admit no solutions in that range. Preliminary Monte Carlo simulations for the symmetric case (Z1=−Z2) reveal a striking “chemical” equilibrium between tightly bound ion pairs and free ions, which is reasonably well described by a simple Bjerrum model.

Key words

Two-dimensional Coulomb gas pair correlation functions integral equations ion pairing Monte Carlo simulations 


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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • J. P. Hansen
    • 1
    • 2
  • P. Viot
    • 1
  1. 1.Laboratoire de Physique Théorique des Liquides, Equipe associée au CNRSUniversité Pierre et Marie CurieParis Cedex 05France
  2. 2.École Normale Supérieure de Saint-CloudSaint-CloudFrance

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