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 m based on the diversity of ideas, Δ, it is studied when and how...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2013-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC3738637?pdf=render |
| _version_ | 1818994635041669120 |
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| author | Huiseung Chae Soon-Hyung Yook Yup Kim |
| author_facet | Huiseung Chae Soon-Hyung Yook Yup Kim |
| author_sort | Huiseung Chae |
| collection | DOAJ |
| 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 m based on the diversity of ideas, Δ, it is studied when and how the phase transition or the disappearance of a dominant paradigm occurs as a cost C in DM or an innovation probability α in SM increases. In addition, we also investigate how the propagation processes affect the transition nature. From analytical calculations and numerical simulations m is shown to satisfy the scaling relation m=1-f(C/N) for DM with the number of agents N. In contrast, m in SM scales as m=1-f(α(a)N). |
| first_indexed | 2024-12-20T21:01:05Z |
| format | Article |
| id | doaj.art-33c53af54b734b639c2f0f04eeb04803 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-20T21:01:05Z |
| publishDate | 2013-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-33c53af54b734b639c2f0f04eeb048032022-12-21T19:26:43ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0188e7092810.1371/journal.pone.0070928Phase transitions in paradigm shift models.Huiseung ChaeSoon-Hyung YookYup KimTwo 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 m based on the diversity of ideas, Δ, it is studied when and how the phase transition or the disappearance of a dominant paradigm occurs as a cost C in DM or an innovation probability α in SM increases. In addition, we also investigate how the propagation processes affect the transition nature. From analytical calculations and numerical simulations m is shown to satisfy the scaling relation m=1-f(C/N) for DM with the number of agents N. In contrast, m in SM scales as m=1-f(α(a)N).http://europepmc.org/articles/PMC3738637?pdf=render |
| spellingShingle | Huiseung Chae Soon-Hyung Yook Yup Kim Phase transitions in paradigm shift models. PLoS ONE |
| 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 |
| url | http://europepmc.org/articles/PMC3738637?pdf=render |
| work_keys_str_mv | AT huiseungchae phasetransitionsinparadigmshiftmodels AT soonhyungyook phasetransitionsinparadigmshiftmodels AT yupkim phasetransitionsinparadigmshiftmodels |