IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v179y1991i3p344-377.html
   My bibliography  Save this article

Nonasymptotic critical thermodynamical behavior of fluids

Author

Listed:
  • Tang, S.
  • Sengers, J.V.
  • Chen, Z.Y.

Abstract

The paper is concerned with some theoretical and empirical attempts to obtain a unified equation for the thermodynamic properties of fluids that incorporates the nonclassical scaling laws near the critical point and crosses over to a classical analytic equation far away from the critical point. Specifically we investigate to what extent the various proposed crossover models agree with the known theoretical predictions for the universal ratios among the asymptotic and correction-to-scaling amplitudes in the power-law expansions of the thermodynamic properties around the critical point.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:179:y:1991:i:3:p:344-377
    DOI: 10.1016/0378-4371(91)90084-P
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190084P
    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)90084-P?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. 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.
    2. 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.
    3. 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.
    4. Kestin, J. & Korfali, Ö. & Sengers, J.V. & Kamgar-Parsi, B., 1981. "Density dependence and composition dependence of the viscosity of neon-helium and neon-argon mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(3), pages 415-442.
    5. Albright, Elizabeth Gerber & Albright, Robert J., 1985. "The economic impact of uncertainties associated with energy-saving technologies," Energy, Elsevier, vol. 10(5), pages 631-634.
    6. 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.
    7. 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.
    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. 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.
    2. 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.
    3. Morita, T. & Sato, H. & Uematsu, M. & Watanabe, K., 1989. "PVT properties and vapor-pressures of ordinary water substance in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(1), pages 436-453.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Kestin, J. & Imaishi, N. & Nott, S.H. & Nieuwoudt, J.C. & Sengers, J.V., 1985. "Viscosity of light and heavy water and their mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 38-58.
    9. 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.
    10. Liu, Andrea J. & Fisher, Michael E., 1989. "The three-dimensional Ising model revisited numerically," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(1), pages 35-76.
    11. 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.
    12. Onuki, Akira, 1996. "Adiabatic effects in nucleation near the gas-liquid critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 189-205.
    13. Trappeniers, N.J. & Boots, H.M.J. & Huijser, R.H. & Michels, A.C., 1980. "Investigation of multiple scattering contributions to the depolarization of light scattered by xenon and carbon dioxide in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 455-467.
    14. 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.
    15. 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.
    16. Sikkenk, J.H. & van Leeuwen, J.M.J., 1986. "ε-Expansion for the interfacial profile in an external field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 156-177.
    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:179:y:1991:i:3:p:344-377. 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.