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Analytical and numerical study of the non-linear noisy voter model on complex networks

Abstract:

We study the noisy voter model using a specific non-linear dependence of the rates that takes into account collective interaction between individuals. The resulting model is solved exactly under the all-to-all coupling configuration and approximately in some random network environments. In the all-to-all setup, we find that the non-linear interactions induce bona fide phase transitions that, contrary to the linear version of the model, survive in the thermodynamic limit. The main effect of...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.5030112

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Institution:
University of Oxford
Division:
Maths, Physical & Life Sciences
Department:
Mathematical Institute
Department:
MATHEMATICAL INSTITUTE
Role:
Author
Agencia Estatal de Investigación (AEI, Spain) More from this funder
Publisher:
American Institute of Physics Publisher's website
Journal:
Chaos: An Interdisciplinary Journal of Nonlinear Science Journal website
Volume:
28
Issue:
7
Article number:
075516
Publication date:
2018-07-24
Acceptance date:
2018-06-22
DOI:
EISSN:
1089-7682
ISSN:
1054-1500
Keywords:
Pubs id:
pubs:877484
UUID:
uuid:13f160ce-ec12-4fb6-8f93-6d5ab42890ee
Local pid:
pubs:877484
Source identifiers:
877484
Deposit date:
2018-07-20

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