IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v102y1980i1p145-160.html
   My bibliography  Save this article

Cluster expansion for fluids with long-range interactions

Author

Listed:
  • Meister, T.F.
  • Felderhof, B.U.

Abstract

We apply Kac's method of functional integration to a spatially non-uniform fluid with short and long-range interactions. The system with short-range interactions is treated as a reference system to which the long-range pair interaction is added as a perturbation. All equilibrium distribution functions of the reference system are assumed known. We show by diagram analysis that by a suitable choice of the density profile of the reference system the thermodynamic potential can be expressed in terms of a cluster expansion containing only irreducible diagrams. For a spatially uniform fluid in the thermodynamic limit our results reduce to those obtained by Siegert et al.

Suggested Citation

  • Meister, T.F. & Felderhof, B.U., 1980. "Cluster expansion for fluids with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(1), pages 145-160.
    • Handle: RePEc:eee:phsmap:v:102:y:1980:i:1:p:145-160
    DOI: 10.1016/0378-4371(80)90066-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437180900667
    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(80)90066-7?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. Chandler, Alfred D., 1972. "Anthracite Coal and the Beginnings of the Industrial Revolution in the United States," Business History Review, Cambridge University Press, vol. 46(2), pages 141-181, July.
    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. Atack, Jeremy & Margo, Robert A. & Rhode, Paul W., 2022. "Industrialization and urbanization in nineteenth century America," Regional Science and Urban Economics, Elsevier, vol. 94(C).
    2. Hoyt Bleakley & Jeffrey Lin, 2012. "Portage and Path Dependence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 587-644.
    3. Tyson, Thomas N. & Oldroyd, David & Fleischman, Richard K., 2013. "Was America born capitalist? A counter view," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 24(4), pages 379-396.
    4. Boudh-Hir, M.-E., 1988. "Theory of simple fluids near a structured surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(1), pages 127-139.
    5. Charles W. Calomiris & Christopher Hanes, 1994. "Historical Macroeconomics and American Macroeconomic History," NBER Working Papers 4935, National Bureau of Economic Research, Inc.
    6. Bradley Bowden, 2012. "A History Of The Pan‐Pacific Coal Trade From The 1950s To 2011: Exploring The Long‐Term Effects Of A Buying Cartel," Australian Economic History Review, Economic History Society of Australia and New Zealand, vol. 52(1), pages 1-24, March.
    7. Nathan Rosenberg & Manuel Trajtenberg, 2001. "A General Purpose Technology at Work: The Corliss Steam Engine in the late 19th Century US," NBER Working Papers 8485, National Bureau of Economic Research, Inc.
    8. Boudh-Hir, M.-E., 1990. "Iterative treatments for homogeneous fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 499-512.
    9. Boudh-Hir, M.-E., 1988. "New developments for a repulsive external potential. Self-consistent treatments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 151(2), pages 370-384.
    10. Fleischman, Richard K. & Tyson, Thomas N. & Oldroyd, David, 2013. "America's “exceptional” transition to capitalism: A counter view," CRITICAL PERSPECTIVES ON ACCOUNTING, Elsevier, vol. 24(7), pages 616-626.
    11. Carazza, B. & Parola, A. & Reatto, L. & Tau, M., 1982. "Critical phenomena of the lattice gas model on the basis of perturbation theories," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(1), pages 207-226.
    12. Franziska Holz & Clemens Haftendorn & Roman Mendelevitch & Christian von Hirschhausen, 2016. "A Model of the International Steam Coal Market (COALMOD-World)," Data Documentation 85, DIW Berlin, German Institute for Economic Research.

    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:102:y:1980:i:1:p:145-160. 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.