Ordering dynamics with two non-excluding options: bilingualism in language competition
16 pages, 6 figures.-- ArXiv pre-print: http://arxiv.org/abs/physics/0609079.
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/6111 |
| Acesso em linha: | http://hdl.handle.net/10261/6111 |
| Access Level: | acceso abierto |
| Palavra-chave: | Sociophysics |
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Ordering dynamics with two non-excluding options: bilingualism in language competitionCastelló, XavierEguíluz, Víctor M.Eguíluz, Víctor M.San Miguel, MaxiSociophysics16 pages, 6 figures.-- ArXiv pre-print: http://arxiv.org/abs/physics/0609079.We consider an extension of the voter model in which a set of interacting elements (agents) can be in either of two equivalent states (A or B) or in a third additional mixed (AB) state. The model is motivated by studies of language competition dynamics, where the AB state is associated with bilingualism. We study the ordering process and associated interface and coarsening dynamics in regular lattices and small world networks. Agents in the AB state define the interfaces, changing the interfacial noise driven coarsening of the voter model to curvature driven coarsening. We argue that this change in the coarsening mechanism is generic for perturbations of the voter model dynamics. When interaction is through a small world network the AB agents restore coarsening, eliminating the metastable states of the voter model. The time to reach the absorbing state scales with system size as τ ~ ln N to be compared with the scaling as τ ~ N for the voter model in a small world network.We acknowledge financial support form the MEC (Spain) through project CONOCE2 (FIS2004-00953). XC also acknowledges financial support from a PhD fellowship of the Govern de les Illes Balears (Spain).Institute of Physics PublishingDeutsche Physikalische Gesellschaft200820082006info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_65012373 bytes5783552 bytes4672512 bytes5797888 bytes1398784 bytes1428753 bytestext/plainapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/octet-streamapplication/pdfhttp://hdl.handle.net/10261/6111http://dx.doi.org/10.1088/1367-2630/8/12/308reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglésinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/61112026-05-22T06:33:51Z |
| dc.title.none.fl_str_mv |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| title |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| spellingShingle |
Ordering dynamics with two non-excluding options: bilingualism in language competition Castelló, Xavier Sociophysics |
| title_short |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| title_full |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| title_fullStr |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| title_full_unstemmed |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| title_sort |
Ordering dynamics with two non-excluding options: bilingualism in language competition |
| dc.creator.none.fl_str_mv |
Castelló, Xavier Eguíluz, Víctor M. Eguíluz, Víctor M. San Miguel, Maxi |
| author |
Castelló, Xavier |
| author_facet |
Castelló, Xavier Eguíluz, Víctor M. San Miguel, Maxi |
| author_role |
author |
| author2 |
Eguíluz, Víctor M. San Miguel, Maxi |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Sociophysics |
| topic |
Sociophysics |
| description |
16 pages, 6 figures.-- ArXiv pre-print: http://arxiv.org/abs/physics/0609079. |
| publishDate |
2006 |
| dc.date.none.fl_str_mv |
2006 2008 2008 |
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info:eu-repo/semantics/article http://purl.org/coar/resource_type/c_6501 |
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article |
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http://hdl.handle.net/10261/6111 |
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http://hdl.handle.net/10261/6111 |
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Inglés |
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Inglés |
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info:eu-repo/semantics/openAccess |
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openAccess |
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2373 bytes 5783552 bytes 4672512 bytes 5797888 bytes 1398784 bytes 1428753 bytes text/plain application/octet-stream application/octet-stream application/octet-stream application/octet-stream application/pdf |
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Institute of Physics Publishing Deutsche Physikalische Gesellschaft |
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Institute of Physics Publishing Deutsche Physikalische Gesellschaft |
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http://dx.doi.org/10.1088/1367-2630/8/12/308 reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC instname:Consejo Superior de Investigaciones Científicas (CSIC) |
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