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dc.contributor.author
Perachia, Florencia
dc.contributor.author
Román, Pablo Manuel
dc.contributor.author
Menchón, Silvia Adriana
dc.date.available
2023-08-23T18:16:40Z
dc.date.issued
2022-11
dc.identifier.citation
Perachia, Florencia; Román, Pablo Manuel; Menchón, Silvia Adriana; Noisy voter model: Explicit expressions for finite system size; American Physical Society; Physical Review E; 106; 5; 11-2022; 1-9
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/209127
dc.description.abstract
Urn models are classic stochastic models that have been used to describe a diverse kind of complex systems. Voter and Ehrenfest's models are very well-known urn models. An opinion model that combines these two models is presented in this work and it is used to study a noisy voter model. In particular, at each temporal step, an Ehrenfest's model step is done with probability α or a voter step is done with probability 1-α. The parameter α plays the role of noise. By performing a spectral analysis, it is possible to obtain explicit expressions for the order parameter, susceptibility, and Binder's fourth-order cumulant. Recursive expressions in terms of the dual Hahn polynomials are given for first passage and return distributions to consensus and the equal coexistence of opinions. In the cases where they follow power-law distributions, their exponents are computed. This model has a pseudocritical noise value that depends on the system size; a discussion about thermodynamic limits is given.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights
Atribución-NoComercial-CompartirIgual 2.5 Argentina (CC BY-NC-SA 2.5 AR)
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Urn models
dc.subject
Random walks
dc.subject
First return probability
dc.subject
Spectral analysis
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Noisy voter model: Explicit expressions for finite system size
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-05T15:06:15Z
dc.identifier.eissn
2470-0053
dc.journal.volume
106
dc.journal.number
5
dc.journal.pagination
1-9
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Perachia, Florencia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universität Göttingen; Alemania
dc.description.fil
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Guangdong Technion-Israel Institute Of Technology; China
dc.description.fil
Fil: Menchón, Silvia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Guangdong Technion-Israel Institute Of Technology; China
dc.journal.title
Physical Review E
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/pdf/10.1103/PhysRevE.106.054155
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1103/PhysRevE.106.054155
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