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

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

arXiv comment8pages, 2 figures

References in corpus (9)

• Statistical mechanics of complex networks
• Spectra of "Real-World" Graphs: Beyond the Semi-Circle Law
• Ising Model on Networks with an Arbitrary Distribution of Connections
• Spectra of complex networks
• Spectra and eigenvectors of scale-free networks
• Ferromagnetic Phase Transition in Barabasi-Albert Networks
• Mean field solution of the Ising model on a Barabasi-Albert network
• First- and second-order phase transitions in scale-free networks
• Random Walks on Complex Networks

Cited by in corpus (2)

• Approximating the largest eigenvalue of network adjacency matrices
• Spectral properties of disordered fully-connected graphs