IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v224y1996i3p604-612.html
   My bibliography  Save this article

Stable spins in the zero temperature spinodal decomposition of 2D Potts models

Author

Listed:
  • Derrida, B.
  • de Oliveira, P.M.C.
  • Stauffer, D.

Abstract

We present the results of zero temperature Monte Carlo simulations of the q-state Potts model on a square lattice with either four or eight neighbors, and for the triangular lattice with six neighbors. In agreement with previous works, we observe that the domain growth process gets blocked for the nearest-neighbor square lattice when q is large enough, whereas for the eight neighbor square lattice and for the triangular lattice no blocking is observed. Our simulations indicate that the number of spins which never flipped from the beginning of the simulation up to time t follows a power law as a function of the energy, even in the case of blocking. The exponent of this power law varies from less than sol12 for the Ising case (1q = 2) to 2 for q → ∞ and seems to be universal. The effect of blocking on this exponent is invisible at least up to q = 7.

Suggested Citation

  • Derrida, B. & de Oliveira, P.M.C. & Stauffer, D., 1996. "Stable spins in the zero temperature spinodal decomposition of 2D Potts models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 604-612.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:3:p:604-612
    DOI: 10.1016/0378-4371(95)00345-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195003452
    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(95)00345-2?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. Safran, William, 1983. "France in the Giscard Presidency. By J. R. Frears. (Boston: George Allen & Unwin, 1981. Pp. xii + 224. $24.50, cloth; $10.95, paper.)," American Political Science Review, Cambridge University Press, vol. 77(1), pages 235-236, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hennecke, Michael, 1997. "Survivors in the two-dimensional Potts model: zero-temperature dynamics for Q = ∞," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 519-528.
    2. Hennecke, Michael, 1998. "Survivors in the two-dimensional Potts model: zero-temperature dynamics for finite Q," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 252(1), pages 173-177.
    3. Derrida, Bernard, 2021. "Working with Dietrich Stauffer in the ’80s and ’90s," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).

    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. Kawasaki, Kyozi & Nagai, Tatsuzo, 1983. "Statistical dynamics of interacting kinks I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 175-206.

    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:224:y:1996:i:3:p:604-612. 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.