{
  "id": "1201.4122",
  "version": "v3",
  "published": "2012-01-19T17:46:27.000Z",
  "updated": "2012-08-21T01:21:47.000Z",
  "title": "Dissipative Properties of Systems Composed of High-Loss and Lossless Components",
  "authors": [
    "Alexander Figotin",
    "Aaron Welters"
  ],
  "comment": "Revision; Improved exposition and typos corrected; 45 pages, 4 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study here dissipative properties of systems composed of two components one of which is highly lossy and the other is lossless. A principal result of our studies is that all the eigenmodes of such a system split into two distinct classes characterized as high-loss and low-loss. Interestingly, this splitting is more pronounced the higher the loss of the lossy component. In addition, the real frequencies of the high-loss eigenmodes can become very small and even can vanish entirely, which is the case of overdamping.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-08-21T01:21:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70H09",
      "05.45.-a",
      "02.10.Ud"
    ],
    "keywords": [
      "dissipative properties",
      "lossless components",
      "real frequencies",
      "principal result"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4761819",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Dec",
      "volume": 53,
      "number": 12,
      "pages": 3508
    },
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JMP....53l3508F"
    }
  }
}