| Autor: |
De Nigris, Sarah, Leoncini, Xavier |
| Rok vydání: |
2014 |
| Předmět: |
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| Zdroj: |
Physical Review E, American Physical Society, 2015, 91 (4) 042809 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevE.91.042809 |
| Popis: |
The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and the clustering coefficient are controlled. This is done by rewiring links of a regular one dimensional chain according to a probability $p$ within a specific range $r$, that can depend on the number of vertices $N$. We compute the thermodynamic behavior of a system defined on the network, the $XY-$rotors model, and monitor how it is affected by the topological changes. We identify the network dimension $d$ as a crucial parameter: topologies with $d\textless{}2$ exhibit no phase transitions while ones with $d\textgreater{}2$ display a second order phase transition. Topologies with $d=2$ exhibit states characterized by infinite susceptibility and macroscopic chaotic/turbulent dynamical behavior. These features are also captured by $d$ in the finite size context. |
| Databáze: |
arXiv |
| Externí odkaz: |
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