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Isomorphism of critical vaporization phenomena in pure substances and binary mixtures

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Abstract

By integration with respect to a noncritical order parameter (the concentration of the mixture), a model Hamiltonian of Landau-Ginzburg type for a binary mixture is reduced to the Hamiltonian of a single-component fluid. The conditions under which this isomorphism is possible are considered. It is shown that taking into account fluctuations of a critical order parameter (the total density of the mixture) by Wilson's approximate method leads, in an approximation linear inɛ (ɛ =4 − d; d is the dimensionality of the space), to the renormalization of the Hamiltonian parameters and to values of the critical indicesβ, γ, δ, ν, which forɛ = 1 are close to those observed experimentally.

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Authors and Affiliations

  1. T. G. Shevchenko Kiev State University, USSR

    I. A. Fakhretdinov & A. V. Chalyi

Authors
  1. I. A. Fakhretdinov
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  2. A. V. Chalyi
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 35–40, November, 1976.

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Fakhretdinov, I.A., Chalyi, A.V. Isomorphism of critical vaporization phenomena in pure substances and binary mixtures. Soviet Physics Journal 19, 1415–1418 (1976). https://doi.org/10.1007/BF00890785

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  • DOI: https://doi.org/10.1007/BF00890785

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