2019-03-23T16:07:56Z
https://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/6111
2018-09-13T09:12:01Z
com_10261_2855
com_10261_4
col_10261_2857
Ordering dynamics with two non-excluding options: bilingualism in language competition
Castelló, Xavier
Eguíluz, Víctor M.
Eguíluz, Víctor M.
San Miguel, Maxi
Sociophysics
16 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.
2008-07-22T15:10:41Z
2008-07-22T15:10:41Z
2006-12-06
Artículo
New Journal of Physics 8, 308 (2006)
1367-2630
http://hdl.handle.net/10261/6111
10.1088/1367-2630/8/12/308
eng
openAccess
Institute of Physics Publishing
Deutsche Physikalische Gesellschaft
http://dx.doi.org/10.1088/1367-2630/8/12/308