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Behavior of the dielectric constant of fluids near a critical point

Author

Listed:
  • Sengers, J.V.
  • Bedeaux, D.
  • Mazur, P.
  • Greer, S.C.

Abstract

Thermodynamic and statistical mechanical arguments indicate that the temperature derivative of the dielectric constant of fluids diverges weakly at the critical point. Following a thermodynamic procedure proposed by Mistura, we derive an expansion for the static dielectric constant of fluids near the gas-liquid critical point and of binary liquids near the critical point of mixing, which includes correction terms to the asymptotic critical behavior. The relationship with the statistical mechanical derivation of the critical behavior of the dielectric constant is discussed. The paper concludes with an assessment of the current experimental situation.

Suggested Citation

  • Sengers, J.V. & Bedeaux, D. & Mazur, P. & Greer, S.C., 1980. "Behavior of the dielectric constant of fluids near a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 573-594.
    • Handle: RePEc:eee:phsmap:v:104:y:1980:i:3:p:573-594
    DOI: 10.1016/0378-4371(80)90014-X
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    References listed on IDEAS

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    1. Oxtoby, G. H., 1979. "Domestic resource costs--the case of Ethiopian textiles," Socio-Economic Planning Sciences, Elsevier, vol. 13(4), pages 197-204.
    2. McIntosh, F., 1961. "Hay Costings, Crop 1960," Scottish Agricultural College Archive 261781, Scotland's Rural College (formerly Scottish Agricultural College).
    3. Williams, S.J. & McIntosh, E.N., 1974. "Requirements for abortion services," American Journal of Public Health, American Public Health Association, vol. 64(7), pages 716-717.
    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. Levelt Sengers, J.M.H, 1975. "Critical exponents at the turn of the century," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(3), pages 319-351.
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