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A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points

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  • Anisimov, M.A
  • Gorodetskii, E.E
  • Kulikov, V.D
  • Povodyrev, A.A
  • Sengers, J.V

Abstract

A general isomorphism approach to critical phenomena in binary fluid mixtures that may exhibit complex critical-line behavior is developed by relating the two relevant scaling fields to linear combinations of three physical field variables. These physical field variables are related to the temperature and chemical potentials of the two components. The proposed approach includes crossover from vapor-liquid critical behavior to liquid-liquid critical behavior and incorporates also the critical behavior near other special points on critical loci. It is shown that the key factor which determines the apparent behavior of the thermodynamic and transport properties of near-critical mixtures is the shape of the critical locus. The number of system-dependent coefficients that determine the asymptotic critical behavior is elucidated. The choice of zero-points of entropy and energy in binary mixtures is also discussed. The approach provides a powerful tool for predicting thermodynamic and transport properties of fluid mixtures in the critical region.

Suggested Citation

  • Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:277-324
    DOI: 10.1016/0378-4371(95)00217-U
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    References listed on IDEAS

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    1. Li, W.B. & Segrè, P.N. & Gammon, R.W. & Sengers, J.V., 1994. "Small-angle Rayleigh scattering from nonequilibrium fluctuations in liquids and liquid mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 399-436.
    2. Tsallis, Constantino & Ferreira, Ricardo, 1986. "A critical phenomenon approach of biogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 336-348.
    3. Belyakov, M.Y. & Kiselev, S.B., 1992. "Crossover behavior of the susceptibility and the specific heat near a second-order phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 190(1), pages 75-94.
    4. Sengers, J.V. & Gillespie, D.T. & Perez-Esandi, J.J., 1978. "Three-particle collision effects in the transport properties of a gas of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 365-409.
    5. Segrè, P.N. & Schmitz, R. & Sengers, J.V., 1993. "Fluctuations in inhomogeneous and nonequilibrium fluids under the influence of gravity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 31-52.
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    1. Povodyrev, A.A. & Anisimov, M.A. & Sengers, J.V. & Levelt Sengers, J.M.H., 1997. "Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 298-328.

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