Year: 2010
Type: article
Abstract: We derive a renormalization method to calculate the spectral dimension d of deterministic self-similar networks with arbitrary base units and branching constants. The generality of the method allows the affect of a multitude of microstructural details to be quantitatively investigated. In addition to providing models for physical networks, the results allow precise tests of theories of diffusive transport. For example, the properties of a class of nonrecurrent trees (d > 2) with asymmetric elements and branching violate the Alexander-Orbach scaling law.
Source: Physical Review E
Authors: Christophe P. Haynes, Anthony P. Roberts
Institution: The University of Queensland
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1963639713