IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v92y1978i3p446-458.html
   My bibliography  Save this article

Comments on the critical behavior of isotropic spin systems with long- and short-range interactions

Author

Listed:
  • Yamazaki, Y.

Abstract

A simplified method of renormalization-group theory, by which critical phenomena in N - component spin systems with long- and short-range interactions can be studied, is developed. The fixed points, the eigenvalues and the critical exponents (η, γ and φ) of the systems are investigated. Furthermore, a limitation of the description of long-range systems in terms of the pσ-inverse propagator and its improvement are discussed.

Suggested Citation

  • Yamazaki, Y., 1978. "Comments on the critical behavior of isotropic spin systems with long- and short-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 446-458.
    • Handle: RePEc:eee:phsmap:v:92:y:1978:i:3:p:446-458
    DOI: 10.1016/0378-4371(78)90143-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178901437
    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(78)90143-7?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. Zinn, Karl Georg, 1976. "Hochkonjunktur bei Unterbeschäftigung? Die analytischen Defizite der jüngsten Aufschwungeuphorie," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 56(8), pages 395-403.
    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. Blöte, Henk W.J. & Nienhuis, Bernard, 1989. "The phase diagram of the O(n) model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(2), pages 121-134.
    2. Myerson, Robert J., 1978. "The Landau-Ginzburg-Wilson model in 2 and 2+ϵ dimensions at low temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 431-449.
    3. Hu, Bambi, 1979. "Renormalization group study of the one dimensional quantum mechanical XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 330-336.
    4. Lovesey, S.W., 1978. "Effective potentials and the study of phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 625-630.
    5. Yamazaki, Yoshitake & Holz, Arno, 1981. "Critical behavior of anisotropic cubic systems with long- and short-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(3), pages 568-578.
    6. Walasek, K., 1986. "Quantum crossover behaviour of the N-vector model in the large-N limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 258-270.
    7. Kawasaki, Kyozi & Sekimoto, Ken, 1988. "Morphology dynamics of block copolymer systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(3), pages 361-413.
    8. Weyland, A., 1982. "Remarks on the hypernetted chain approximation in the case of simple fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 77-89.
    9. Lukierska-Walasek, K., 1984. "Quantum crossover behaviour of the X−Y model in a transverse magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 127(3), pages 613-626.
    10. 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.
    11. Vieira, Vitor R., 1982. "New field theoretical method for spin 1/2," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 58-84.
    12. 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.
    13. 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.

    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:92:y:1978:i:3:p:446-458. 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.