IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v505y2018icp965-972.html
   My bibliography  Save this article

The random field Ising model in a shifted bimodal probability distribution

Author

Listed:
  • Hadjiagapiou, Ioannis A.
  • Velonakis, Ioannis N.

Abstract

The critical behavior of the Ising model in the presence of a random magnetic field is investigated for any temperature T. The random field is drawn from the proposed shifted bimodal probability distribution P(hi)=(12+12h0)hiδ(hi−h0)+(12−12h0)hiδ(hi+h0), hi is the random field variable with strength h0. By obtaining data for several transition temperatures T and random field strengths h0, we conclude that the system possesses first and second order phase transitions, joined smoothly at a tricritical point, with coordinates (TTCP,h0TCP,V0TCP)=(1.5775571,3.7348565,−4.7741775), where V0 is an auxiliary field. Using the variational principle, we determine the phase diagram and the equilibrium equation for magnetization (with zero and nonzero values), solve it for both transitions and at the tricritical point and examine the stability conditions of each phase transition.

Suggested Citation

  • Hadjiagapiou, Ioannis A. & Velonakis, Ioannis N., 2018. "The random field Ising model in a shifted bimodal probability distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 965-972.
    • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:965-972
    DOI: 10.1016/j.physa.2018.04.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118304461
    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/j.physa.2018.04.018?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. Jianxiong Gao & Zongwen An & Xuezong Bai, 2022. "A new representation method for probability distributions of multimodal and irregular data based on uniform mixture model," Annals of Operations Research, Springer, vol. 311(1), pages 81-97, April.

    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:505:y:2018:i:c:p:965-972. 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: 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.