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.
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Supported by the Deutsche Forschungsgemeinschaft (D.F.G.), Forschungsprojekt “Stochastische Felder.”
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Albeverio, S., Dürr, D. & Merlini, D. Remarks on the independence of the free energy from crystalline boundary conditions in the two-dimensional one-component plasma. J Stat Phys 31, 389–407 (1983). https://doi.org/10.1007/BF01011589
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DOI: https://doi.org/10.1007/BF01011589