Complete aging in the noisy voter model enhances consensus formation

We investigate the effects of aging in the noisy voter model considering that the probability to change states decays algebraically with age τ, defined as the time elapsed since adopting the current state. We study the complete aging scenario, which incorporates aging to both mechanisms of interacti...

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Detalles Bibliográficos
Autores: Llabrés, Jaume, Oliver-Bonafoux, Sara, Anteneodo, Celia, Toral, Raúl
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/402323
Acceso en línea:http://hdl.handle.net/10261/402323
https://api.elsevier.com/content/abstract/scopus_id/85218629782
Access Level:acceso abierto
Palabra clave:Sociophysics
Agent-based modeling
Aging
Complex Systems
Mean-field
Phase transitions
Descripción
Sumario:We investigate the effects of aging in the noisy voter model considering that the probability to change states decays algebraically with age τ, defined as the time elapsed since adopting the current state. We study the complete aging scenario, which incorporates aging to both mechanisms of interaction, herding and idiosyncratic behavior, and compare it with the partial aging case, where aging affects only the herding mechanism. Analytical mean-field equations are derived, finding excellent agreement with agent-based simulations on a complete graph. We observe that complete aging enhances consensus formation, shifting the critical point to higher values compared to the partial aging case. However, when the aging probability decays asymptotically to zero for large τ, a steady state is not always attained for complete aging.