Is small-world network disordered?
arXiv:cond-mat/0409012 · doi:10.1016/j.physleta.2005.10.105
Abstract
Recent renormalization group results predict non self averaging behaviour at criticality for relevant disorder. However, we find strong self averaging(SA) behaviour in the critical region of a quenched Ising model on an ensemble of small-world networks, despite the relevance of the random bonds at the pure critical point.
4 pages, revtex, 4 figures; replaced by the published version to appear in Physics Letters A
References in corpus (13)
- Statistical mechanics of complex networks
- Small-world properties of the Indian Railway network
- A Measure of data-collapse for scaling
- Ising model in small-world networks
- Lack of Self-Averaging in Critical Disordered Systems
- Self-Averaging, Distribution of Pseudo-Critical Temperatures and Finite Size Scaling in Critical Disordered Systems
- Comment on "Ising model on a small world network"
- Replicated Transfer Matrix Analysis of Ising Spin Models on `Small World' Lattices
- Mean-Field and Anomalous Behavior on a Small-World Network
- Characterizing the structure of small-world networks
- Exact Solution of Ising Model on a Small-World Network
- Disorder Averaging and Finite Size Scaling
- Universality Class of Thermally Diluted Ising Systems at Criticality
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