{
  "id": "cond-mat/0304618",
  "version": "v1",
  "published": "2003-04-28T01:21:51.000Z",
  "updated": "2003-04-28T01:21:51.000Z",
  "title": "Netons: Vibrations of Complex Networks",
  "authors": [
    "Beom Jun Kim",
    "H. Hong",
    "M. Y. Choi"
  ],
  "comment": "9 pages, 6 figures, to appear in JPA",
  "journal": "J. Phys. A: Math. Gen. 36, 6329 (2003)",
  "doi": "10.1088/0305-4470/36/23/304",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We 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 $r = 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-28T01:21:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex network",
      "small-world network",
      "local regular lattice",
      "lattice vibrations",
      "arbitrarily high energies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat..4618K"
    }
  }
}