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Capillary waves of a vapor-liquid interface in a gravitational field very close to the critical temperature

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  • Van Leeuwen, J.M.J.
  • Sengers, J.V.

Abstract

The interfacial density profiles in a gravitational field very close to the critical temperature, calculated earlier on the basis of the squared-gradient theory, are reconsidered in view of the role of capillary waves. It is found that the influence of capillary waves is small in the regime where compressional effects become large. Thus a smooth interpolation is found between the regime well above the critical temperature, where the gravitationally induced density profiles are basically given by a local thermodynamic theory, and the regime well below the critical temperature, where the density profile is given by an intrinsic profile smeared out by capillary waves.

Suggested Citation

  • Van Leeuwen, J.M.J. & Sengers, J.V., 1989. "Capillary waves of a vapor-liquid interface in a gravitational field very close to the critical temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 839-856.
  • Handle: RePEc:eee:phsmap:v:157:y:1989:i:2:p:839-856
    DOI: 10.1016/0378-4371(89)90069-1
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    References listed on IDEAS

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    1. 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.
    2. van Leeuwen, J.M.J. & Sengers, J.V., 1984. "Gravity effects on the correlation length in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 99-131.
    3. Sengers, J.V. & Van Leeuwen, J.M.J., 1982. "Nonlocal gravity-induced density profiles in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 345-367.
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