Abstract
We estimate the canonical and grand canonical partition function in a finite volume and prove stability and existence of the thermodynamic limit for the pressure of two component classical and quantum systems of particles with charge ±ε interacting via two body Yukawa — or Coulomb forces. In the case of Coulomb forces we require neutrality. For the classical system in two dimensions there exists a critical temperatureT c at and below which the system collapses. For the classical Yukawa system the correlation functions exist for arbitrary fugacity and the general structure of the pure phases can be analyzed completely.
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Communicated by J. L. Lebowitz
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Fröhlich, J. Classical and quantum statistical mechanics in one and two dimensions: Two-component Yukawa — and Coulomb systems. Commun.Math. Phys. 47, 233–268 (1976). https://doi.org/10.1007/BF01609843
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DOI: https://doi.org/10.1007/BF01609843