Spectral dimension of a fractal structure with long-range interactions
- 1 July 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 34 (1) , 456-459
- https://doi.org/10.1103/physrevb.34.456
Abstract
By an exact renormalization method three different dynamical regimes are found for a self-similar structure with long-range interactions. Unlike in translation invariant systems, a transition from nonuniversal to universal anomalous spectral behavior occurs as the range of the forces increases beyond a certain threshold. The model sheds light on possible qualitative mechanisms behind recent experimental results for the density of vibrational states of hemoproteins. Problems of ultradiffusion in hierarchical structures can be solved within similar mathematical frameworks.Keywords
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