IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v108y1981i1p1-13.html
   My bibliography  Save this article

Critical point scaling in the Percus-Yevick equation

Author

Listed:
  • Fishman, Shmuel
  • Fisher, Michael E.

Abstract

It is pointed out that the solution of the Percus-Yevick equation for sticky hard spheres, obtained by Baxter, scales exactly in the critical region with classical, Van der Waals exponents. However, even though the correlation functions achieve the Ornstein-Zernike forms, the scaling functions for the equation of state are not classical: in particular, the usual asymptotic gas-liquid symmetry is strongly violated; there is a spinodal curve only for the liquid phase; the specific heat, Cv, on the critical isochore is logarithmically divergent, and, quite unphysically, Cv is also logarithmically divergent on the critical isotherm above the critical density. Finally, comparison with numerical calculations for Lennard-Jones interactions suggests that the scaling functions are, in general, nonuniversal for the PY equation.

Suggested Citation

  • Fishman, Shmuel & Fisher, Michael E., 1981. "Critical point scaling in the Percus-Yevick equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(1), pages 1-13.
    • Handle: RePEc:eee:phsmap:v:108:y:1981:i:1:p:1-13
    DOI: 10.1016/0378-4371(81)90161-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437181901618
    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(81)90161-8?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. Baxter, Wt & Carrier, Nh, 1971. "Depreciation, Replacement Price, And Cost Of Capital," Journal of Accounting Research, Wiley Blackwell, vol. 9(2), pages 189-214.
    2. Kozak, David C., 1980. "Presidential Influence in Congress. By George C. EdwardsIII. (San Francisco: W. H. Freeman and Co., 1980. Pp. x + 216. $13.95, cloth; $6.95, paper.)," American Political Science Review, Cambridge University Press, vol. 74(4), pages 1079-1080, December.
    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. Fishman, Shmuel, 1981. "Fourier space analysis of the Yvon-Born-Green equation in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(3), pages 382-402.
    2. Lekkerkerker, H.N.W., 1997. "Strong, weak and metastable liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 227-237.
    3. den Hollander, W.Th.F. & Kasteleyn, P.W., 1982. "Random walks with ‘spontaneous emission’ on lattices with periodically distributed imperfect traps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 523-543.

    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:108:y:1981:i:1:p:1-13. 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.