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Vibrational modes and spectrum of oscillators on a scale-free network

Kazumoto Iguchi·Hiroaki Yamada
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Abstract

We study vibrational modes and spectrum of a model system of atoms and springs on a scale-free network in order to understand the nature of excitations with many degrees of freedom on the scale-free network. We assume that the atoms and springs are distributed as nodes and links of a scale-free network, assigning the mass $M_{i}$ and the specific oscillation frequency $ω_{i}$ of the $i$-th atom and the spring constant $K_{ij}$ between the $i$-th and $j$-th atoms.

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Kazumoto Iguchi, Hiroaki Yamada. 2004-08-13. Vibrational modes and spectrum of oscillators on a scale-free network. https://doi.org/10.1103/physreve.71.037102

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