Back to Search
Start Over
Connecting complex networks to nonadditive entropies.
- Source :
-
Scientific Reports . 1/13/2021, Vol. 11 Issue 1, p1-7. 7p. - Publication Year :
- 2021
-
Abstract
- Boltzmann–Gibbs statistical mechanics applies satisfactorily to a plethora of systems. It fails however for complex systems generically involving nonlocal space–time entanglement. Its generalization based on nonadditive q-entropies adequately handles a wide class of such systems. We show here that scale-invariant networks belong to this class. We numerically study a d-dimensional geographically located network with weighted links and exhibit its 'energy' distribution per site at its quasi-stationary state. Our results strongly suggest a correspondence between the random geometric problem and a class of thermal problems within the generalised thermostatistics. The Boltzmann–Gibbs exponential factor is generically substituted by its q-generalisation, and is recovered in the q = 1 limit when the nonlocal effects fade away. The present connection should cross-fertilise experiments in both research areas. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 20452322
- Volume :
- 11
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Scientific Reports
- Publication Type :
- Academic Journal
- Accession number :
- 148115302
- Full Text :
- https://doi.org/10.1038/s41598-020-80939-1