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Open AccessArticle

Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?

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Department of Applied Mathematics, Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, 50-370 Wrocław, Poland
2
Department of Theoretical Physics, Faculty of Fundamental Problems of Technology, Wrocław University of Science and Technology, 50-370 Wrocław, Poland
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 521; https://doi.org/10.3390/e21050521
Received: 20 April 2019 / Revised: 19 May 2019 / Accepted: 20 May 2019 / Published: 23 May 2019
We ask a question about the possibility of a discontinuous phase transition and the related social hysteresis within the q-voter model with anticonformity. Previously, it was claimed that within the q-voter model the social hysteresis can emerge only because of an independent behavior, and for the model with anticonformity only continuous phase transitions are possible. However, this claim was derived from the model, in which the size of the influence group needed for the conformity was the same as the size of the group needed for the anticonformity. Here, we abandon this assumption on the equality of two types of social response and introduce the generalized model, in which the size of the influence group needed for the conformity q c and the size of the influence group needed for the anticonformity q a are independent variables and in general q c q a . We investigate the model on the complete graph, similarly as it was done for the original q-voter model with anticonformity, and we show that such a generalized model displays both types of phase transitions depending on parameters q c and q a . View Full-Text
Keywords: opinion dynamics; voter model; phase transitions; Landau theory opinion dynamics; voter model; phase transitions; Landau theory
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Abramiuk, A.; Pawłowski, J.; Sznajd-Weron, K. Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model? Entropy 2019, 21, 521.

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