IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v94y2021i3d10.1140_epjb_s10051-021-00084-0.html
   My bibliography  Save this article

Ferromagnetic and spin-glass like transition in the q-neighbor Ising model on random graphs

Author

Listed:
  • A. Krawiecki

    (Warsaw University of Technology)

Abstract

The q-neighbor Ising model is investigated on homogeneous random graphs with a fraction of edges associated randomly with antiferromagnetic exchange integrals and the remaining edges with ferromagnetic ones. It is a nonequilibrium model for the opinion formation in which the agents, represented by two-state spins, change their opinions according to a Metropolis-like algorithm taking into account interactions with only a randomly chosen subset of their q neighbors. Depending on the model parameters in Monte Carlo simulations, phase diagrams are observed with first-order ferromagnetic transition, both first- and second-order ferromagnetic transitions and second-order ferromagnetic and spin-glass-like transitions as the temperature and fraction of antiferromagnetic exchange integrals are varied; in the latter case, the obtained phase diagrams qualitatively resemble those for the dilute spin-glass model. Homogeneous mean-field and pair approximations are extended to take into account the effect of the antiferromagnetic exchange interactions on the ferromagnetic phase transition in the model. For a broad range of parameters, critical temperatures for the first- or second-order ferromagnetic transition predicted by the homogeneous pair approximation show quantitative agreement with those obtained from Monte Carlo simulations; significant differences occur mainly in the vicinity of the tricritical point in which the critical lines for the second-order ferromagnetic and spin-glass-like transitions meet. Graphic abstract

Suggested Citation

  • A. Krawiecki, 2021. "Ferromagnetic and spin-glass like transition in the q-neighbor Ising model on random graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(3), pages 1-15, March.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:3:d:10.1140_epjb_s10051-021-00084-0
    DOI: 10.1140/epjb/s10051-021-00084-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-021-00084-0
    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/s10051-021-00084-0?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. Andrzej Krawiecki, 2018. "Spin-glass-like transition in the majority-vote model with anticonformists," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(3), pages 1-7, March.
    2. Andrzej Krawiecki, 2020. "Ferromagnetic and spin-glass-like transition in the majority vote model on complete and random graphs," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(9), pages 1-14, September.
    3. Liang Li & Jia-lin Wu & Jin-xiang Ding, 2013. "Analysis of Bank Queueing Based on Operations Research," Springer Books, in: Ershi Qi & Jiang Shen & Runliang Dou (ed.), The 19th International Conference on Industrial Engineering and Engineering Management, edition 127, chapter 0, pages 777-787, Springer.
    4. Bartłomiej Nowak & Katarzyna Sznajd-Weron, 2019. "Homogeneous Symmetrical Threshold Model with Nonconformity: Independence versus Anticonformity," Complexity, Hindawi, vol. 2019, pages 1-14, April.
    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. Galam, Serge, 2021. "Will Trump win again in the 2020 election? An answer from a sociophysics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Michel Grabisch & Fen Li, 2020. "Anti-conformism in the Threshold Model of Collective Behavior," Dynamic Games and Applications, Springer, vol. 10(2), pages 444-477, June.
    3. Grabisch, Michel & Poindron, Alexis & Rusinowska, Agnieszka, 2019. "A model of anonymous influence with anti-conformist agents," Journal of Economic Dynamics and Control, Elsevier, vol. 109(C).
    4. Lee, Kyu-Min & Lee, Sungmin & Min, Byungjoon & Goh, K.-I., 2023. "Threshold cascade dynamics on signed random networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    5. Michel Grabisch & Agnieszka Rusinowska, 2020. "A Survey on Nonstrategic Models of Opinion Dynamics," Games, MDPI, vol. 11(4), pages 1-29, December.
    6. Calvelli, Matheus & Crokidakis, Nuno & Penna, Thadeu J.P., 2019. "Phase transitions and universality in the Sznajd model with anticonformity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 518-523.
    7. Catalina Canals & Eric Goles & Aldo Mascareño & Sergio Rica & Gonzalo A. Ruz, 2018. "School Choice in a Market Environment: Individual versus Social Expectations," Complexity, Hindawi, vol. 2018, pages 1-11, December.
    8. Oestereich, A.L. & Pires, M.A. & Duarte Queirós, S.M. & Crokidakis, N., 2020. "Hysteresis and disorder-induced order in continuous kinetic-like opinion dynamics in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    9. Takamitsu Watanabe, 2020. "A numerical study on efficient jury size," Palgrave Communications, Palgrave Macmillan, vol. 7(1), pages 1-7, December.

    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:spr:eurphb:v:94:y:2021:i:3:d:10.1140_epjb_s10051-021-00084-0. 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: 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.