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

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 m...

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Autores principales: Abramiuk, Angelika, Pawłowski, Jakub, Sznajd-Weron, Katarzyna
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515009/
https://www.ncbi.nlm.nih.gov/pubmed/33267234
http://dx.doi.org/10.3390/e21050521
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author Abramiuk, Angelika
Pawłowski, Jakub
Sznajd-Weron, Katarzyna
author_facet Abramiuk, Angelika
Pawłowski, Jakub
Sznajd-Weron, Katarzyna
author_sort Abramiuk, Angelika
collection PubMed
description 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 [Formula: see text] and the size of the influence group needed for the anticonformity [Formula: see text] are independent variables and in general [Formula: see text]. 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 [Formula: see text] and [Formula: see text].
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spelling pubmed-75150092020-11-09 Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model? Abramiuk, Angelika Pawłowski, Jakub Sznajd-Weron, Katarzyna Entropy (Basel) Article 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 [Formula: see text] and the size of the influence group needed for the anticonformity [Formula: see text] are independent variables and in general [Formula: see text]. 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 [Formula: see text] and [Formula: see text]. MDPI 2019-05-23 /pmc/articles/PMC7515009/ /pubmed/33267234 http://dx.doi.org/10.3390/e21050521 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Abramiuk, Angelika
Pawłowski, Jakub
Sznajd-Weron, Katarzyna
Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title_full Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title_fullStr Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title_full_unstemmed Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title_short Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model?
title_sort is independence necessary for a discontinuous phase transition within the q-voter model?
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7515009/
https://www.ncbi.nlm.nih.gov/pubmed/33267234
http://dx.doi.org/10.3390/e21050521
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