Aging and percolation dynamics in a Non-Poissonian temporal network model
We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Activity Driven (NoPAD) model [Moinet et al., Phys. Rev. Lett. 114, 108701 (2015)], a temporal network model incorporating the empirically observed bursty nature of social interactions. We focus on the aging effec...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/98775 |
| Acceso en línea: | https://hdl.handle.net/2117/98775 https://dx.doi.org/10.1103/PhysRevE.94.022316 |
| Access Level: | acceso abierto |
| Palabra clave: | Percolation (Statistical physics) Percolation dynamics Non-Poissonian temporal network model Filtres i filtració Àrees temàtiques de la UPC::Física |
| Sumario: | We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Activity Driven (NoPAD) model [Moinet et al., Phys. Rev. Lett. 114, 108701 (2015)], a temporal network model incorporating the empirically observed bursty nature of social interactions. We focus on the aging effects emerging from the non-Poissonian dynamics of link activation, and on their effects on the topological properties of time-integrated networks, such as the degree distribution. Analytic expressions for the degree distribution of integrated networks as a function of time are derived, exploring both limits of vanishing and strong aging. We also address the percolation process occurring on these temporal networks, by computing the threshold for the emergence of a giant connected component, highlighting the aging dependence. Our analytic predictions are checked by means of extensive numerical simulations of the NoPAD model. |
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