IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v192y1993i3p516-524.html
   My bibliography  Save this article

Antiferromagnetic Potts model in a magnetic field: a finite size scaling study

Author

Listed:
  • Bakchich, A.
  • Benyoussef, A.
  • Touzani, M.

Abstract

The finite size scaling method is used to investigate the phase diagrams of the q-state antiferromagnetic Potts model in an external magnetic field on a square lattice. Critical lines where the system undergoes second-order phase transitions between ordered and disordered phases are found, which are in complete qualitative agreement with known results for q = 3. Also new unexpected features are found for q ⩾ 4 where the transition vanishes in the negative field region, while in the positive field region, as q increases, the critical line flattens out with increasing slopes both at the (T = 0, H = Hc) point, where Hc is the critical field at zero temperature, and at the (T = 0, H = 0) point. Thermal exponents YT are also calculated for arbitrary q along the critical lines.

Suggested Citation

  • Bakchich, A. & Benyoussef, A. & Touzani, M., 1993. "Antiferromagnetic Potts model in a magnetic field: a finite size scaling study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 516-524.
  • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:516-524
    DOI: 10.1016/0378-4371(93)90051-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437193900515
    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(93)90051-5?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. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Peruggi, Fulvio & di Liberto, Francesco & Monroy, Gabriella, 1987. "Phase diagrams of the q-state potts model on Bethe lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 151-186.
    3. G. J. Schick & B. F. Kunnecke, 1982. "Do High Grades, Top Schools, or An Advanced Degree Lead to Job Security and Extraordinary Salary Progression?," Interfaces, INFORMS, vol. 12(1), pages 9-18, February.
    4. Peruggi, Fulvio & Di Liberto, Francesco & Monroy, Gabriella, 1985. "Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 300-310.
    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. Peruggi, Fulvio & di Liberto, Francesco & Monroy, Gabriella, 1987. "Phase diagrams of the q-state potts model on Bethe lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 151-186.
    2. Bet, Gianmarco & Gallo, Anna & Nardi, F.R., 2024. "Metastability for the degenerate Potts Model with positive external magnetic field under Glauber dynamics," Stochastic Processes and their Applications, Elsevier, vol. 172(C).
    3. Ismael Moya Clemente & Gabriela Ribes Giner & Gisela Sanahuja Vélez, 2020. "Towards Sustainability in University Education. Improving University Graduates Chances of Employability by Participation in a High Achievement Academic Program," Sustainability, MDPI, vol. 12(2), pages 1-17, January.
    4. J. S. Armstrong, 2005. "Learner Responsibility in Management Education, or Ventures into Forbidden Research (with Comments)," General Economics and Teaching 0502012, University Library of Munich, Germany.
    5. Grigelionis, Gintautas & Rosengren, Anders, 1994. "Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(2), pages 287-299.
    6. Nardi, Francesca R. & Zocca, Alessandro, 2019. "Tunneling behavior of Ising and Potts models in the low-temperature regime," Stochastic Processes and their Applications, Elsevier, vol. 129(11), pages 4556-4575.
    7. Peruggi, Fulvio & Di Liberto, Francesco & Monroy, Gabriella, 1985. "Critical behaviour in three-state Potts antiferromagnets on a Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 300-310.
    8. Peruggi, Fulvio, 1987. "First-order transitions in percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 140-150.
    9. Au-Yang, Helen & Perk, Jacques H.H., 1996. "Phase diagram in the generalized chiral clock models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 228(1), pages 78-101.

    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:192:y:1993:i:3:p:516-524. 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.