Phase transitions in social impact models of opinion formation
Janusz Hołyst , Krzysztof Kacperski , Frank Schweitzer
AbstractWe study phase transitions in models of opinion formation which are based on the social impact theory. Two different models are discussed: (i) a cellular-automata-based model of a finite group with a strong leader where persons can change their opinions but not their spatial positions, and (ii) a model with persons treated as active Brownian particles interacting via a communication field. In the first model, two stable phases are possible: a cluster around the leader, and a state of social unification. The transition into the second state occurs for a large leader strength and/or for a high level of social noise. In the second model, we find three stable phases, which correspond either to a “paramagnetic” phase (for high noise and strong diffusion), a “ferromagnetic” phase (for small nose and weak diffusion), or a phase with spatially separated “domains” (for intermediate conditions).
|Journal series||Physica A-Statistical Mechanics and Its Applications, ISSN 0378-4371|
|Keywords in English||Brownian particles, Collective phenomena, Communication, Critical phenomena, Mean field approximation, Opinion formation, phase separation, Phase transition, Social impact model, Social systems|
|Publication indicators||= 85; = 168.0; = 96; : 2014 = 1.253; : 2006 = 1.311 (2) - 2007=1.469 (5)|
|Citation count*||169 (2020-09-01)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.