Abstract
It is known that the free energy at criticality of a finite two-dimensional system of characteristic sizeL has in general a term which behaves like logL asL→∞; the coefficient of this term is universal. There are solvable models of two-dimensional classical Coulomb systems which exhibit the same finite-size correction (except for its sign) although the particle correlations are short-ranged, i.e., noncritical. Actually, the electrical potential and electrical field correlationsare critical at all temperatures (as long as the Coulomb system is a conductor), as a consequence of the perfect screening property of Coulomb systems. This is why Coulomb systems have to exhibit critical finite-size effects.
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Laboratoire Associé au Centre National de la Recherche Scientifique
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Jancovici, B., Manificat, G. & Pisani, C. Coulomb systems seen as critical systems: Finite-size effects in two dimensions. J Stat Phys 76, 307–329 (1994). https://doi.org/10.1007/BF02188664
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DOI: https://doi.org/10.1007/BF02188664