Abstract
Accurate bounds for the classical canonical partition function of the two-dimensional Coulomb gas interacting through the Coulomb potential −q i q j logr ij are calculated (valid for allT>T c ). The existence of the thermodynamic limit is proved.
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References
Deutsch, C., Lavaud, M.: Phys. Rev. A9, 2598 (1974)
Lenard, A.: Statistical mechanics and mathematical problems. Lecture Notes in Physics, Vol. 20. Berlin-Heidelberg-New York: Springer 1973
Whittaker, E.D., Watson, G.N.: A course of modern analysis, 4th Ed. Cambridge 1952
Harary, F., Palmer, E.: Graphical enumeration. New York-London: Academic Press 1973
Indritz, J.: Methods in analysis. New York: The MacMillan Company 1963
Mitrinovic, D.S.: Analytic inequalities. Berlin-Heidelberg-New York: Springer 1970
Fisher, M.E.: Arch. Rational Mech. Anal.17, 377 (1964)
Simon, B.: TheP(φ)2 Euclidean (quantum) field theory. Princeton: University Press 1974
Ruelle, D.: Statistical mechanics. New York: W. A. Benjamin Inc. (1969)
Knorr, G.: Phys. Letters28A, 166 (1968)
Coleman, S.: Phys. Rev. D,11, 2088 (1975)
Fröhlich, J.: International School of Mathematical Physics, 1975 at Erice, notes
Griffiths, R.B.: Phys. Rev.176, 655 (1968)
Lieb, E., Lebowitz, J.: Advan. Math.9, 316 (1972)
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Communicated by G. Gallavotti
On leave from Universidade Federal da Paraiba (Brazil)
Supported in part by Conselho Nacional de Desenvolvimento Cientifico e Technologico, Brazil and the British Council
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Gunson, J., Panta, L.S. Two-dimensional neutral Coulomb gas. Commun.Math. Phys. 52, 295–304 (1977). https://doi.org/10.1007/BF01609488
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DOI: https://doi.org/10.1007/BF01609488