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

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

2004-08-13

arxiv.org/abs/cond-mat/0408323v1

Physics

Condensed Matter

Statistical Mechanics

8pages, 2 figures

Scientific paper

10.1103/PhysRevE.71.037102

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 $\omega_{i}$ of the $i$-th atom and the spring constant $K_{ij}$ between the $i$-th and $j$-th atoms.

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