Equilibrium behavior in a nonequilibrium system: Ising-doped voter model on complete graph
Authors:
- Adam Antoni Lipowski,
- Dorota Lipowska
- Record ID
- UAMb06edd8eee4d45f6bee382e42b98dd91
- Author
- Journal series
- Physical Review E, ISSN 2470-0045, e-ISSN 2470-0053, [1538-4519, 1539-3755]
- Issue year
- 2022
- Vol
- 105
- No
- 2
- Article number
- 024119
- Keywords in original language
- Critical phenomena ; Nonequilibrium statistical mechanics ; Social systems
- ASJC Classification
- ; ;
- Abstract in original language
While the Ising model belongs to the realm of equilibrium statistical mechanics, the voter model is an example of a nonequilibrium system. We examine an opinion formation model, which is a mixture of Ising and voter agents with concentrations p and 1-p, respectively. Although in our model for p<1 a detailed balance is violated, on a complete graph the average magnetization in the stationary state for any p>0 is shown to satisfy the same equation as for the pure Ising model (p=1). Numerical simulations confirm such a behavior. Variance of magnetization and susceptibility in our model increase for decreasing p and diverge at the temperature at which magnetization vanishes. Simulations on a random graph also show that a small concentration of Ising agents is sufficient to induce a ferromagnetic ordering.
- DOI
- DOI:10.1103/PhysRevE.105.024119 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 140
- Score source
- journalList
- Score
- = 140.0, 28-03-2022, ArticleFromJournal
- Publication indicators
- = 0; : 2016 = 0.896; : 2019 (2 years) = 2.296 - 2019 (5 years) =2.287
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMb06edd8eee4d45f6bee382e42b98dd91/
- URN
urn:amu-prod:UAMb06edd8eee4d45f6bee382e42b98dd91
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.