dorsal/arxiv
View SchemaDivergent Time Scale in Axelrod Model Dynamics
| Authors | F. Vazquez, S. Redner |
|---|---|
| Categories | |
| ArXiv ID | physics/0605097 |
| URL | https://arxiv.org/abs/physics/0605097 |
| DOI | 10.1209/0295-5075/78/18002 |
| Journal | Europhys.Lett.78:18002,2007 |
Abstract
We study the evolution of the Axelrod model for cultural diversity. We consider a simple version of the model in which each individual is characterized by two features, each of which can assume q possibilities. Within a mean-field description, we find a transition at a critical value q_c between an active state of diversity and a frozen state. For q just below q_c, the density of active links between interaction partners is non-monotonic in time and the asymptotic approach to the steady state is controlled by a time scale that diverges as (q-q_c)^{-1/2}.
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"abstract": "We study the evolution of the Axelrod model for cultural diversity. We\nconsider a simple version of the model in which each individual is\ncharacterized by two features, each of which can assume q possibilities. Within\na mean-field description, we find a transition at a critical value q_c between\nan active state of diversity and a frozen state. For q just below q_c, the\ndensity of active links between interaction partners is non-monotonic in time\nand the asymptotic approach to the steady state is controlled by a time scale\nthat diverges as (q-q_c)^{-1/2}.",
"arxiv_id": "physics/0605097",
"authors": [
"F. Vazquez",
"S. Redner"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1209/0295-5075/78/18002",
"journal_ref": "Europhys.Lett.78:18002,2007",
"title": "Divergent Time Scale in Axelrod Model Dynamics",
"url": "https://arxiv.org/abs/physics/0605097"
},
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