IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v208y1994i1p124-161.html
   My bibliography  Save this article

High precision renormalization group study of the roughening transition

Author

Listed:
  • Hasenbusch, Martin
  • Marcu, Mihai
  • Pinn, Klaus

Abstract

We confirm the Kosterlitz-Thouless scenario of the roughening transition for three different Solid-On-Solid models: the Discrete Gaussian model, the Absolute-Value-Solid-On-Solid model and the dual transform of the XY-model with standard (cosine) action. The method is based on a matching of the renormalization group flow of the candidate models with the flow of a bona fide KT model, the exactly solvable BCSOS model. The Monte Carlo simulations are performed using efficient cluster algorithms. We obtain high precision estimates for the critical couplings and other non-universal quantities. For the XY-model with cosine action our critical coupling estimate is βXYR = 1.1197 (5). For the roughening coupling of the Discrete Gaussian and the Absolute-Value-Solid-On-Solid model we find KDGR = 0.6645 (6) and KASOSR = 0.8061 (3), respectively.

Suggested Citation

  • Hasenbusch, Martin & Marcu, Mihai & Pinn, Klaus, 1994. "High precision renormalization group study of the roughening transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(1), pages 124-161.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:1:p:124-161
    DOI: 10.1016/0378-4371(94)90536-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194905363
    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(94)90536-3?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. Sukhamoy Chakravarty, 1981. "Plus ça change. Essays in Honour of Kurt Martin. Development and Change, Vol. 10, No.4 (October 1979)," Development and Change, International Institute of Social Studies, vol. 12(1), pages 165-176, January.
    2. M. Zuberi, 1981. "Nuclear Safeguards and the Developing Countries: the Servitudes of Civilian Nuclear Technology," International Studies, , vol. 20(1-2), pages 173-189, January.
    3. Thomas H. Snitch & Thomas M. Stauffer, 1983. "International Dimensions Of Policy Studies," Review of Policy Research, Policy Studies Organization, vol. 2(4), pages 822-827, May.
    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. Lage, E.J.S., 1987. "Critical dynamics of the Potts model in several dimensionalities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(3), pages 629-636.
    2. Stoll, E.P. & Kolb, M., 1992. "Pores and Hausdorff dimension in fractal site-percolation systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 222-227.
    3. Hasenbusch, M. & Pinn, K., 1997. "The interface tension of the three-dimensional Ising model in the scaling region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 366-378.
    4. Ito, Nobuyasu, 1993. "Non-equilibrium relaxation and interface energy of the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 591-614.
    5. Jiang, I.M. & Huang, C.C., 1995. "Helicity modulus near a three-state Potts-like transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 104-108.
    6. Hasenbusch, Martin & Pinn, Klaus, 1993. "Surface tension, surface stiffness, and surface width of the 3-dimensional Ising model on a cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 342-374.

    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:208:y:1994:i:1:p:124-161. 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.