Phase transitions as a persistent feature of groups with leaders in models of opinion formation

Krzysztof Kacperski , Janusz Hołyst


A class of models of opinion formation based on the concept of cellular automata and the theory of social impact is studied, in particular the case when a strong leader and external impact are present. The rapid changes of the opinion distribution with a continuous change of a system parameter, which was previously observed for the model with geometric structure, prove to be present also for much larger class of mutual interaction architectures. We study random connections with different probability distributions. The theoretical results obtained in the framework of mean field approximation are confirmed by the numerical simulations of the model.
Author Krzysztof Kacperski (FEIT / IT)
Krzysztof Kacperski,,
- The Institute of Telecommunications
, Janusz Hołyst (FP)
Janusz Hołyst,,
- Faculty of Physics
Journal seriesPhysica A-Statistical Mechanics and Its Applications, ISSN 0378-4371
Issue year2000
Keywords in EnglishCritical phenomena, Mean field approximation, Opinion formation, Phase transition, Social impact model
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability
Score (nominal)30
Score sourcejournalList
Publication indicators WoS Citations = 71; GS Citations = 117.0; Scopus Citations = 74; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.253; WoS Impact Factor: 2006 = 1.311 (2) - 2007=1.469 (5)
Citation count*118 (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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