IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v90y2017i12d10.1140_epjb_e2017-80471-2.html
   My bibliography  Save this article

First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited

Author

Listed:
  • Moonjung Jung

    (School of Physics and Chemistry, Gwangju Institute of Science and Technology)

  • Dong-Hee Kim

    (School of Physics and Chemistry, Gwangju Institute of Science and Technology)

Abstract

We investigate the first-order transition in the spin-1 two-dimensional Blume-Capel model in square lattices by revisiting the transfer-matrix method. With large strip widths increased up to the size of 18 sites, we construct the detailed phase coexistence curve which shows excellent quantitative agreement with the recent advanced Monte Carlo results. In the deep first-order area, we observe the exponential system-size scaling of the spectral gap of the transfer matrix from which linearly increasing interfacial tension is deduced with decreasing temperature. We find that the first-order signature at low temperatures is strongly pronounced with much suppressed finite-size influence in the examined thermodynamic properties of entropy, non-zero spin population, and specific heat. It turns out that the jump at the transition becomes increasingly sharp as it goes deep into the first-order area, which is in contrast to the Wang–Landau results where finite-size smoothing gets more severe at lower temperatures.

Suggested Citation

  • Moonjung Jung & Dong-Hee Kim, 2017. "First-order transitions and thermodynamic properties in the 2D Blume-Capel model: the transfer-matrix method revisited," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(12), pages 1-10, December.
  • Handle: RePEc:spr:eurphb:v:90:y:2017:i:12:d:10.1140_epjb_e2017-80471-2
    DOI: 10.1140/epjb/e2017-80471-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/e2017-80471-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1140/epjb/e2017-80471-2?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.

    Citations

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


    Cited by:

    1. Rocha-Neto, Mário J.G. & Camelo-Neto, G. & Nogueira, E. & Coutinho, S., 2023. "Thermodynamical behavior of the Blume–Capel model in the vicinity of its tricritical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 629(C).
    2. Butera, P. & Pernici, M., 2018. "The Blume–Capel model for spins S=1 and 3∕2 in dimensions d=2 and 3," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 22-66.

    More about this item

    Keywords

    Statistical and Nonlinear Physics;

    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:spr:eurphb:v:90:y:2017:i:12:d:10.1140_epjb_e2017-80471-2. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.