Abstract
A relation (called by the author a limiting similarity relation) is suggested, generalizing the results of the well-known Bethe-Peierls—Guggenheim quasichemical approximation, including features of thermodynamic functions close to the critical point. Based on this relation and on scaling considerations, the equation of state is obtained in the specific case of Ising magnetism, as well as equations relating the critical temperature, the index, and the amplitude of singularity of several thermodynamic functions close to the critical point.
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K. R. Hall, J. Chem. Phys.57, 2252 (1972).
T. L. Hill, Statistical Mechanics, McGraw-Hill, New York (1956).
H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Oxford (1971).
M. Fisher, Nature of the Critical State, Mir, Moscow (1968).
M. Fisher, in: Stability and Phase Transitions, Mir, Moscow (1973).
A. A. Migdal, Zh. Eksp. Teor. Fiz.,62, 1559 (1972).
F. Harbus and H. E. Stanley, Phys. Rev.,B8, 2268 (1973).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 74–78, June, 1975.
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Magalinskii, V.B. Generalized be the — Peierls — Guggenheim relations in the theory of critical phenomena. Soviet Physics Journal 18, 813–816 (1975). https://doi.org/10.1007/BF00891159
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DOI: https://doi.org/10.1007/BF00891159