In this study, we propose a new mechanism to describe the bipolar phenomenon in opinion dynamics. We assume that individuals in a community review and analyze their opinions based on feedback from their surrounding community. In this numerical study, we consider 100 agents and we generate a random geometric network to define the neighborhood structure. The approach taken in this paper can be seen as a combination of physics-inspired binary opinion dynamics and social influence models. Agents are allowed to express two alternative opinions (binary choice). After exchanging their opinions, both agents have the possibility to change their initial opinions. Finally, the effect of learning rate and time evolution on dispersion, standard deviation, variance, and support strength are investigated.
[5] P. DiMaggio, J. Evans, B. Bryson, Have Americans social attitudes become more polarized, Am. J. Community Psychol. 102 (1996) 690-755. https://doi.org/10.1086/230995
[9] P. Dandekar, A. Goel, D.T. Lee, Biased assimilation, homophily and the dynamics of polarization, proceedings of the National Academy of Sciences.110 (2013) 5791-5796. https://doi.org/10.1073/pnas.1217220110.
[10] N. E. Friedkin , The problem of social control and coordination of complex systems in sociology: A look at the community cleavage problem, IEEE Control Systems. 35 (2015) 40-51. https://doi.org/10.1109/MCS.2015.2406655.
[11] L. Frachebourg, P. L. Krapivsky, Exact results for kinetics of catalytic reactions, Physical Review E. 53 (1996) R3009-R3012. https://doi.org/10.1103/PhysRevE.53.R3009.
[12] J. P. Gleeso, Binary-State Dynamics on complex Networks: Pair Approximation and Beyond, Physical. Review X. 3 (2013) 021004. https://doi.org/10.1103/PhysRevX.3.021004.
Jahromizadeh, Z., Karimi, M. J. & Kadivar, E. (2025). Modeling opinion dynamics using statistical mechanics. Journal of Research on Many-body Systems, 15(1), 43–52. https://doi.org/10.22055/jrmbs.2025.20482
MLA
Jahromizadeh, Z., Karimi, M. J., & Kadivar, E. "Modeling opinion dynamics using statistical mechanics", Journal of Research on Many-body Systems, 15, 1, 2025, 43–52. doi: 10.22055/jrmbs.2025.20482
HARVARD
Jahromizadeh, Z., Karimi, M. J., & Kadivar, E. (2025). 'Modeling opinion dynamics using statistical mechanics', Journal of Research on Many-body Systems, 15(1), pp. 43–52. doi: 10.22055/jrmbs.2025.20482
CHICAGO
Jahromizadeh, Z., Karimi, M. J. & Kadivar, E., "Modeling opinion dynamics using statistical mechanics." Journal of Research on Many-body Systems, 15 1 (2025): 43–52, doi: 10.22055/jrmbs.2025.20482
VANCOUVER
Jahromizadeh Z., Karimi M. J., Kadivar E. Modeling opinion dynamics using statistical mechanics. J. Res. Many-Body Syst. 2025;15(1):43–52 (In Persian). doi: 10.22055/jrmbs.2025.20482