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Van Kampen's expansion approach in an opinion formation model

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dc.creator Sánchez de la Lama, Marta
dc.creator Szendro, Ivan Georg
dc.creator Iglesias, J. R.
dc.creator Wio, Horacio S.
dc.date 2008-05-02T01:45:12Z
dc.date 2008-05-02T01:45:12Z
dc.date 2006-03-07
dc.date.accessioned 2017-01-31T01:08:46Z
dc.date.available 2017-01-31T01:08:46Z
dc.identifier arXiv:physics/0603047v1
dc.identifier http://dx.doi.org/10.1140/epjb/e2006-00232-8
dc.identifier European Physical Journal B 51 (3): 435-442 (2006)
dc.identifier 1434-6036 (Online)
dc.identifier 1434-6028 (Print)
dc.identifier http://hdl.handle.net/10261/3961
dc.identifier 10.1140/epjb/e2006-00232-8
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/3961
dc.description 17 pages, 6 figures.-- Submitted to Europ. Phys. J. B.
dc.description We analyze a simple opinion formation model consisting of two parties, A and B, and a group I, of undecided agents. We assume that the supporters of parties A and B do not interact among them, but only interact through the group I, and that there is a nonzero probability of a spontaneous change of opinion (A->I, B->I). From the master equation, and via van Kampen's Omega-expansion approach, we have obtained the "macroscopic" evolution equation, as well as the Fokker-Planck equation governing the fluctuations around the deterministic behavior. Within the same approach, we have also obtained information about the typical relaxation behavior of small perturbations.
dc.description We acknowledge financial support from Ministerio de Educación y Ciencia (Spain) through Grant No. BFM2003-07749-C05-03 (Spain). MSL and IGS are supported by a FPU and a FPI fellowships respectively (Spain). JRI acknowledges support from FAPERGS and CNPq, Brazil, and the kind hospitality of Instituto de Física de Cantabria and Departamento CITIMAC, Universidad de Cantabria, during the initial stages of this work. HSW thanks the European Commission for the award of a Marie Curie Chair at the Universidad de Cantabria, Spain.
dc.description Peer reviewed
dc.format 305475 bytes
dc.format application/pdf
dc.language eng
dc.publisher Springer
dc.relation Preprint
dc.rights openAccess
dc.subject Physics and Society
dc.title Van Kampen's expansion approach in an opinion formation model
dc.type Pre-print


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