Phase transitions in social impact models of opinion formation

Janusz Hołyst , Krzysztof Kacperski , Frank Schweitzer

Abstract

We 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).
Author Janusz Hołyst (FP)
Janusz Hołyst,,
- Faculty of Physics
, Krzysztof Kacperski (FEIT / IT)
Krzysztof Kacperski,,
- The Institute of Telecommunications
, Frank Schweitzer - [Humboldt-Universitat zu Berlin]
Frank Schweitzer,,
-
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Journal seriesPhysica A-Statistical Mechanics and Its Applications, ISSN 0378-4371
Issue year2000
Vol285
No1–2
Pages199-210
Keywords in EnglishBrownian particles, Collective phenomena, Communication, Critical phenomena, Mean field approximation, Opinion formation, phase separation, Phase transition, Social impact model, Social systems
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability
DOIDOI:10.1016/S0378-4371(00)00282-X
URL http://www.sciencedirect.com/science/article/pii/S037843710000282X
Score (nominal)30
Score sourcejournalList
Publication indicators WoS Citations = 85; GS Citations = 168.0; Scopus Citations = 96; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.253; WoS Impact Factor: 2006 = 1.311 (2) - 2007=1.469 (5)
Citation count*169 (2020-09-01)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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