IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v172y1991i1p20-39.html
   My bibliography  Save this article

Capillary waves of fluid interfaces near a critical point

Author

Listed:
  • Sengers, J.V.
  • Van Leeuwen, J.M.J.
  • Schmidt, J.W.

Abstract

A fluid interface near a critical point is commonly pictured as an intrinsic interface broadened by thermally excited capillary waves. A comparison of the capillary-wave theory with experiments is hampered by the presence of two short-wavelength cutoff parameters in the theory. We review a procedure introduced earlier for fixing these cutoff parameters, so that a definite comparison can be made with experimental reflectivity data reported by Huang and Webb for a binary liquid (methanol + cyclohexane) near the consolute temperature, and by Wu and Webb for a one-component fluid (sulfurhexafluoride) near the critical temperature. We show that the temperature dependence of the reflectivity data for the binary liquid is consistent with a nonuniversal temperature dependence predicted by capillary-wave theory. The reflectivity data of the vapor-liquid interface of SF6 do not appear to be consistent with the binary-liquid reflectivities and do not show the predicted temperature dependence.

Suggested Citation

  • Sengers, J.V. & Van Leeuwen, J.M.J. & Schmidt, J.W., 1991. "Capillary waves of fluid interfaces near a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 172(1), pages 20-39.
    • Handle: RePEc:eee:phsmap:v:172:y:1991:i:1:p:20-39
    DOI: 10.1016/0378-4371(91)90309-Z
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190309Z
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(91)90309-Z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rao, A. S., 1973. "Buffer Storage Location Under Economics of Scale," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 28(3), July.
    2. Zielinska, B.J.A. & Bedeaux, D. & Vlieger, J., 1981. "Electric and magnetic susceptibilities for a fluid-fluid interface; The ellipsometric coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(1), pages 91-108.
    3. Blokhuis, E.M. & Bedeaux, D., 1990. "Optical properties of the fluid-fluid interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 515-548.
    4. Thoenig, Jean-Claude, 1984. "Christopher C. Hood, The Tools of Government, Macmillan, 1983, viii + 178pp. £12.50 hbk, £6.50 pbk," Journal of Public Policy, Cambridge University Press, vol. 4(2), pages 153-154, May.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Van Leeuwen, J.M.J. & Sengers, J.V., 1985. "Gravity effects on the vapor-liquid interface very close to the critical temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 207-232.
    2. Schmidt, James W., 1991. "Near-critical fluid interfaces: A comparison of theory and experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 172(1), pages 40-52.
    3. Schulz, Jens & Hirtz, Andrea & Findenegg, Gerhard H., 1997. "Near-critical liquid/liquid interfaces of simple and complex mixtures probed by ellipsometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 334-343.
    4. Bedeaux, Dick & Weeks, John D. & Zielinska, Barbara J.A., 1985. "Structure of the liquid-vapor interface using a Gaussian column model with a variable interaction range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 88-122.
    5. 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.
    6. Nieuwoudt, J.C. & Sengers, J.V., 1987. "Frequency dependence of transport properties of fluids near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 368-386.
    7. Adler, Joan, 1990. "Solid-on-solid models: Series, simulation and telescopes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 646-654.
    8. Wind, M.M. & Vlieger, J., 1985. "Optical properties of thin films on rough surfaces," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 1-34.
    9. Zieliński, J. & Matlak, M., 1982. "Specific heat for the periodic Anderson model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(3), pages 624-630.
    10. Tang, S. & Sengers, J.V. & Chen, Z.Y., 1991. "Nonasymptotic critical thermodynamical behavior of fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(3), pages 344-377.
    11. Blokhuis, Edgar M. & Bedeaux, Dick, 1992. "Derivation of microscopic expressions for the rigidity constants of a simple liquid—vapor interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(1), pages 42-70.
    12. 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.
    13. Mainzer, T. & Woermann, D., 1996. "Temperature dependence of liquid-liquid interfacial tension and universal critical amplitude ratio: an experimental study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 312-322.
    14. Zielinska, B.J.A. & Bedeaux, D. & Vlieger, J., 1983. "Electric and magnetic susceptibilities for a fluid-fluid interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(1), pages 28-46.
    15. Lovett, Ronald & Buff, Frank P., 1991. "Examples of the construction of integral equations in equilibrium statistical mechanics from invariance principles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 172(1), pages 147-160.
    16. Lekner, J. & Henderson, J.R., 1978. "Theoretical determination of the thickness of a liquid-vapour interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 94(3), pages 545-558.
    17. Van Leeuwen, J.M.J. & Sengers, J.V., 1986. "Scaling laws and universality of critical phenomena in the presence of an external field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(1), pages 1-21.
    18. Clerke, E.A. & Sengers, J.V., 1983. "Fast pressure quenches near the critical point of a binary liquid mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 360-370.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:172:y:1991:i:1:p:20-39. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.