{
  "annotation_id": "03345610-eb36-4c03-ba0a-76e8385be420",
  "date_created": "2026-03-02T18:01:03.034000Z",
  "date_modified": "2026-03-02T18:01:03.034000Z",
  "file_hash": "fad9b8bb3398cab270af37c9c044cde37f908ab560c47e716cb9b74a3542b7bb",
  "private": false,
  "record": {
    "abstract": "This paper is a theoretical and a numerical investigation of the stability of\na tip-cantilever system used in Non-Contact Atomic Force Microscopy (NC-AFM)\nwhen it oscillates close to a surface. No additional dissipative force is\nconsidered. The theoretical approach is based on a variationnal method\nexploiting a coarse grained operation that gives the temporal dependence of the\nnonlinear coupled equations of motion in amplitude and phase of the oscillator.\nStability criterions for the resonance peak are deduced and predict a stable\nbehavior of the oscillator in the vicinity of the resonance. The numerical\napproach is based on results obtained with a virtual NC-AFM developped in our\ngroup. The effect of the size of the stable domain in phase is investigated.\nThese results are in particularly good agreement with the theoretical\npredictions. Also they show the influence of the phase shifter in the feedback\nloop and the way it can affect the damping signal.",
    "arxiv_id": "physics/0510096",
    "authors": [
      "G\u00e9rard Couturier",
      "Laurent Nony",
      "Rodolphe Boisgard",
      "Jean-Pierre Aim\u00e9"
    ],
    "categories": [
      "physics.atm-clus"
    ],
    "doi": "10.1063/1.1428084",
    "journal_ref": "Applied Physics 91 (4) (2002) 2537-2543",
    "title": "Stability of an oscillating tip in Non-Contact Atomic Force Microscopy:   theoretical and numerical investigations",
    "url": "https://arxiv.org/abs/physics/0510096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b66699c7-82d0-422a-9af7-1f9c568107b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}