Phase transition and universality of the three-one spin interaction based on the majority-rule model

Roni Muslim (), Rinto Anugraha, Sholihun Sholihun () and Muhammad Farchani Rosyid ()
Additional contact information
Roni Muslim: Department of Physics, Universitas Gadjah Mada, Bulaksumur, Yogyakarta 55281, Indonesia
Rinto Anugraha: Department of Physics, Universitas Gadjah Mada, Bulaksumur, Yogyakarta 55281, Indonesia
Sholihun Sholihun: Department of Physics, Universitas Gadjah Mada, Bulaksumur, Yogyakarta 55281, Indonesia
Muhammad Farchani Rosyid: Department of Physics, Universitas Gadjah Mada, Bulaksumur, Yogyakarta 55281, Indonesia

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 09, 1-12

Abstract: In this work, we study the opinion dynamics of majority-rule model on a complete graph with additional social behavior namely anticonformity. We consider four spins with three-one interaction; three spins persuade the fourth spin in the population. We perform analytical and numerical calculations to find the critical behavior of the system. From both, we obtained the agreement results, e.g. the system undergoes a second-order phase transition and the critical point of the system only depends on the population number. In addition, the critical point decays exponentially as the number population increases. For the infinite population, the obtained critical point is 1∕6, which agrees well with that of the previous work. We also obtained the critical exponents β≈0.5,γ≈1, and ν≈2 of the model, thus, the model is in the same universality class with the mean-field Ising.

Keywords: Opinion dynamics; phase transition; universality; majority-rule; anticonformity (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183121501151
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:32:y:2021:i:09:n:s0129183121501151

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183121501151

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().