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Phase Transitions in Paradigm Shift Models

Two general models for paradigm shifts, deterministic propagation model (DM) and stochastic propagation model (SM), are proposed to describe paradigm shifts and the adoption of new technological levels. By defining the order parameter [Image: see text] based on the diversity of ideas, [Image: see te...

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Detalles Bibliográficos
Autores principales: Chae, Huiseung, Yook, Soon-Hyung, Kim, Yup
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3738637/
https://www.ncbi.nlm.nih.gov/pubmed/23951043
http://dx.doi.org/10.1371/journal.pone.0070928
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author Chae, Huiseung
Yook, Soon-Hyung
Kim, Yup
author_facet Chae, Huiseung
Yook, Soon-Hyung
Kim, Yup
author_sort Chae, Huiseung
collection PubMed
description Two general models for paradigm shifts, deterministic propagation model (DM) and stochastic propagation model (SM), are proposed to describe paradigm shifts and the adoption of new technological levels. By defining the order parameter [Image: see text] based on the diversity of ideas, [Image: see text], it is studied when and how the phase transition or the disappearance of a dominant paradigm occurs as a cost [Image: see text] in DM or an innovation probability [Image: see text] in SM increases. In addition, we also investigate how the propagation processes affect the transition nature. From analytical calculations and numerical simulations [Image: see text] is shown to satisfy the scaling relation [Image: see text] for DM with the number of agents [Image: see text]. In contrast, [Image: see text] in SM scales as [Image: see text].
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spelling pubmed-37386372013-08-15 Phase Transitions in Paradigm Shift Models Chae, Huiseung Yook, Soon-Hyung Kim, Yup PLoS One Research Article Two general models for paradigm shifts, deterministic propagation model (DM) and stochastic propagation model (SM), are proposed to describe paradigm shifts and the adoption of new technological levels. By defining the order parameter [Image: see text] based on the diversity of ideas, [Image: see text], it is studied when and how the phase transition or the disappearance of a dominant paradigm occurs as a cost [Image: see text] in DM or an innovation probability [Image: see text] in SM increases. In addition, we also investigate how the propagation processes affect the transition nature. From analytical calculations and numerical simulations [Image: see text] is shown to satisfy the scaling relation [Image: see text] for DM with the number of agents [Image: see text]. In contrast, [Image: see text] in SM scales as [Image: see text]. Public Library of Science 2013-08-08 /pmc/articles/PMC3738637/ /pubmed/23951043 http://dx.doi.org/10.1371/journal.pone.0070928 Text en © 2013 Chae et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Chae, Huiseung
Yook, Soon-Hyung
Kim, Yup
Phase Transitions in Paradigm Shift Models
title Phase Transitions in Paradigm Shift Models
title_full Phase Transitions in Paradigm Shift Models
title_fullStr Phase Transitions in Paradigm Shift Models
title_full_unstemmed Phase Transitions in Paradigm Shift Models
title_short Phase Transitions in Paradigm Shift Models
title_sort phase transitions in paradigm shift models
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3738637/
https://www.ncbi.nlm.nih.gov/pubmed/23951043
http://dx.doi.org/10.1371/journal.pone.0070928
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