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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2013
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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]. |
format | Online Article Text |
id | pubmed-3738637 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT chaehuiseung phasetransitionsinparadigmshiftmodels AT yooksoonhyung phasetransitionsinparadigmshiftmodels AT kimyup phasetransitionsinparadigmshiftmodels |