IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v130y1985i1p171-193.html
   My bibliography  Save this article

Phenomenological renormalization of multi-parameter systems

Author

Listed:
  • Barber, Michael N.

Abstract

Two methods of estimating linear scaling fields and related exponents from finite-lattice data for multi-parameter Systems are discussed. The methods are analysed in detail for the anisotropic Ising model on a n X ∞ strip using the exact expressions for the dominant eigenvalues of the transfer matrix. Numerical results for the Baxter-Wu model in its symmetry-broken subspace and for the eight-vertex model are also presented. In all cases, excellent agreement with all exact or conjectured results are obtained.

Suggested Citation

  • Barber, Michael N., 1985. "Phenomenological renormalization of multi-parameter systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 171-193.
    • Handle: RePEc:eee:phsmap:v:130:y:1985:i:1:p:171-193
    DOI: 10.1016/0378-4371(85)90103-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437185901037
    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(85)90103-7?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. Schick, GJ & Stroup, JW, 1981. "Experience with a multi-year fleet planning model," Omega, Elsevier, vol. 9(4), pages 389-396.
    2. Frøyen, S. & Sudbø, Aa.S. & Hemmer, P.C., 1976. "Ising models with two- and three-spin interactions: Mean field equation of state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 399-408.
    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. Rosskopf, Michael & Lehner, Stephan & Gollnick, Volker, 2014. "Economic–environmental trade-offs in long-term airline fleet planning," Journal of Air Transport Management, Elsevier, vol. 34(C), pages 109-115.
    2. Igloi, F. & Vanderzande, C., 1986. "Renormalisation group study of the (2+1) dimensional Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 347-358.
    3. Geursen, Izaak L. & Santos, Bruno F. & Yorke-Smith, Neil, 2023. "Fleet planning under demand and fuel price uncertainty using actor–critic reinforcement learning," Journal of Air Transport Management, Elsevier, vol. 109(C).
    4. Rogiers, J. & Betts, D.D., 1976. "Application of the renormalization group method to the s = 12XY model on the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(3), pages 553-565.
    5. Wang, Jian-Sheng & Nielaba, Peter & Privman, Vladimir, 1993. "Locally frozen defects in random sequential adsorption with diffusional relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 527-538.
    6. Dóczi-Réger, J. & Hemmer, P.C., 1981. "Second-order phase transitions in triangular ising models with two- and three-spin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(3), pages 541-554.
    7. Du, Jia Yan & Brunner, Jens O. & Kolisch, Rainer, 2016. "Obtaining the optimal fleet mix: A case study about towing tractors at airports," Omega, Elsevier, vol. 64(C), pages 102-114.
    8. 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.
    9. Ceder, G. & Dreyssé, H. & de Fontaine, D., 1993. "Triplet interactions and the c(2×2) overlayer phase diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 193(1), pages 105-113.
    10. 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.
    11. Horiguchi, T. & Gonçalves, L.L., 1985. "Mixed spin Ising models with two-spin interactions and three-spin interactions of the diced lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 460-472.
    12. Sa, Constantijn A.A. & Santos, Bruno F. & Clarke, John-Paul B., 2020. "Portfolio-based airline fleet planning under stochastic demand," Omega, Elsevier, vol. 97(C).

    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:130:y:1985:i:1:p:171-193. 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.