{
  "annotation_id": "7e5b8f6c-0d87-4a40-9679-8d2b830a9b7e",
  "date_created": "2026-03-02T18:01:17.570000Z",
  "date_modified": "2026-03-02T18:01:17.570000Z",
  "file_hash": "a18363869538e420d691aa8f813844cfbd8c0380e2cedfa1112ded9b0d4e26f5",
  "private": false,
  "record": {
    "abstract": "We studied the step dynamics during crystal sublimation and growth in the\nlimit of fast surface diffusion and slow kinetics of atom attachment-detachment\nat the steps. For this limit we formulate a model free of the quasi-static\napproximation in the calculation of the adatom concentration on the terraces at\nthe crystal surface. Such a model provides a relatively simple way to study the\nlinear stability of a step train in a presence of step-step repulsion and an\nabsence of destabilizing factors (as Schwoebel effect, surface electromigration\netc.). The central result is that a critical velocity of the steps in the train\nexists which separates the stability and instability regimes. When the step\nvelocity exceeds its critical value the plot of these trajectories manifests\nclear space and time periodicity (step density compression waves propagate on\nthe vicinal surface). This ordered motion of the steps is preceded by a\nrelatively short transition period of disordered step dynamics.",
    "arxiv_id": "physics/0703265",
    "authors": [
      "Bogdan Ranguelov",
      "Stoyan Stoyanov"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevB.76.035443",
    "title": "Evaporation and growth of crystals - propagation of step density   compression waves at vicinal surfaces",
    "url": "https://arxiv.org/abs/physics/0703265"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4938e349-789c-4e3b-a538-b662faa997dc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}