Diversity in Axelrod's social adaptation model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Villegas-Febres, J. Castillo-Felisola, E. |
| author_facet | Villegas-Febres, J. Castillo-Felisola, E. |
| contents | In this paper, we study Axelrod's model of social dynamics, introducing the concept of Cultural Diversity ($D$), defined as the variety of sizes of clusters or cultural domains formed, which measures the complexity of the system. We find that the maximum of $D$ agrees with the critical point where the monocultural/multicultural phase transition occurs, tending to a minimum value when the system's degrees of freedom, cultural traits $q$, are far from the critical point $q_c$. We show that at $q_c$ the entropy also reaches its maximum value, that is, the phase transition for this model is of the order-order type. Thus, multiculturalism is not synonymous with cultural diversity, as is commonly assumed in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Diversity in Axelrod's social adaptation model Villegas-Febres, J. Castillo-Felisola, E. Physics and Society In this paper, we study Axelrod's model of social dynamics, introducing the concept of Cultural Diversity ($D$), defined as the variety of sizes of clusters or cultural domains formed, which measures the complexity of the system. We find that the maximum of $D$ agrees with the critical point where the monocultural/multicultural phase transition occurs, tending to a minimum value when the system's degrees of freedom, cultural traits $q$, are far from the critical point $q_c$. We show that at $q_c$ the entropy also reaches its maximum value, that is, the phase transition for this model is of the order-order type. Thus, multiculturalism is not synonymous with cultural diversity, as is commonly assumed in the literature. |
| title | Diversity in Axelrod's social adaptation model |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2507.19757 |