IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v147y1987i1p344-367.html
   My bibliography  Save this article

Convergence of finite size scaling analysis: Weak size dependence of renormalization transformations

Author

Listed:
  • Dudek, M.R.
  • Van Leeuwen, J.M.J.
  • Blöte, H.W.J.

Abstract

We investigate two specific renormalization transformations and show numerically that size effects on the transformation are exponentially weak. This implies the absence of analytic background of finite size corrections in the thermodynamic critical properties. Similar simplifications do not occur in the temperature dependent corrections in the singular critical properties as following from series expansions. The exponentially weak size corrections are related to the local nature of the renormalization transformation.

Suggested Citation

  • Dudek, M.R. & Van Leeuwen, J.M.J. & Blöte, H.W.J., 1987. "Convergence of finite size scaling analysis: Weak size dependence of renormalization transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 344-367.
    • Handle: RePEc:eee:phsmap:v:147:y:1987:i:1:p:344-367
    DOI: 10.1016/0378-4371(87)90114-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437187901142
    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(87)90114-2?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. Blöte, H.W.J & Nightingale, M.P, 1982. "Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 405-465.
    2. Nijssen, E.J. & Reijnders, W.J.M., 1987. "Privatisering en commercialisering : Een strategische en organisatorische oriëntatie ten aaanzien van verzelfstandiging," Research Memorandum FEW 287, Tilburg University, School of Economics and Management.
    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. B. Zhang & J. Wang & W. Zhang & G. C. Wang, 2020. "Nonlinear Scaling Behavior of Visible Volatility Duration for Financial Statistical Physics Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 56(2), pages 373-389, August.
    3. Horiguchi, T., 1986. "Ising model with two-spin interactions and three-spin interactions on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 109-123.
    4. Blöte, H.W.J. & Capel, H.W., 1986. "Finite-size scaling and the isotropic spin-one antiferromagnetic chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 387-394.
    5. Privman, V., 1984. "Convergence and extrapolation in finite-size scaling renormalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 428-442.
    6. Blöte, H.W.J. & Nightingale, M.P., 1985. "Universality in two-dimensional Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(1), pages 274-282.

    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:147:y:1987:i:1:p:344-367. 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.