Abstract
We study classical lattice gases at fixed temperature but variable fugacity. It is shown how the thermodynamic functions may be calculated exactly provided the Boltzmann weights are representable as principal minors of a convolution operator. We explicitly construct this operator for the cluster models of Fisher and Felderhof.
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References
R. B. Israel,Convexity in the Theory of Lattice Gases, Princeton Series in Physics (Princeton U.P., Princeton, New Jersey, 1978).
D. Ruelle,Thermodynamic Formalism, Encyclopedia of Mathematics and its Applications, Vol. 5 (Addison-Wesley, Reading, Massachusetts, 1978).
H.-O. Georgii,Lecture Notes in Physics No. 16 (Springer, Berlin, 1972).
D. Mayer,Lecture Notes in Physics No. 123 (Springer, Berlin, 1980).
M. E. Fisher,Physics 3:255 (1967). M. E. Fisher and B. U. Felderhof,Ann. Phys. 58:176, 217, 268 (1970); B. U. Felderhof,Ann. Phys. 58:281 (1970).
G. Gallavotti,Accad. Lincei. Rend. Sc. fis. mat. nat. 61:309 (1976).
H. Wronski,Introduction à la philosophie des mathématiques (Paris, 1811); see also P. Henrici,Applied and Computational Complex Analysis, Vol. 1, Sec. 1.3 (Wiley, New York, 1974).
N. Bourbaki,Algebra I, Sec. 8.5 (Addison-Wesley, Reading, Massachusetts, 1973).
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On leave from the Institute for Theoritical Physics, RWTH Aachen, Germany.
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Roepstorff, G. Solvable models of classical lattice gases. J Stat Phys 26, 783–794 (1981). https://doi.org/10.1007/BF01010939
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DOI: https://doi.org/10.1007/BF01010939