Netons: Vibrations of Complex Networks

dc.creatorKim, Beom Jun
dc.creatorHong, H.
dc.creatorChoi, M. Y.
dc.date2003-04-28
dc.date.accessioned2026-07-07T02:51:00Z
dc.date.available2026-07-07T02:51:00Z
dc.descriptionWe consider atoms interacting each other through the topological structure of a complex network and investigate lattice vibrations of the system, the quanta of which we call {\em netons} for convenience. The density of neton levels, obtained numerically, reveals that unlike a local regular lattice, the system develops a gap of a finite width, manifesting extreme rigidity of the network structure at low energies. Two different network models, the small-world network and the scale-free network, are compared: The characteristic structure of the former is described by an additional peak in the level density whereas a power-law tail is observed in the latter, indicating excitability of netons at arbitrarily high energies. The gap width is also found to vanish in the small-world network when the connection range $r = 1$.
dc.description9 pages, 6 figures, to appear in JPA
dc.identifierhttps://arxiv.org/abs/cond-mat/0304618
dc.identifierhttp://arxiv.org/abs/cond-mat/0304618
dc.identifierJ. Phys. A: Math. Gen. 36, 6329 (2003)
dc.identifierdoi:10.1088/0305-4470/36/23/304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/21303
dc.subjectDisordered Systems and Neural Networks
dc.titleNetons: Vibrations of Complex Networks
dc.typetext

Files

Collections