{
  "annotation_id": "667dad37-3a59-4eb7-ab5a-b2b8fd2c2aaf",
  "date_created": "2026-03-02T18:00:49.912000Z",
  "date_modified": "2026-03-02T18:00:49.912000Z",
  "file_hash": "292974814b29c3d622626e82c125c90cdab299c4a9bfa51815cb72eae9925257",
  "private": false,
  "record": {
    "abstract": "The weakly nonlinear regime of transverse paramagnetic dust grain\noscillations in dusty (complex) plasma crystals is discussed. The nonlinearity,\nwhich is related to the sheath electric/magnetic field(s) and to the\ninter--grain (electrostatic/magnetic dipole) interactions, is shown to lead to\nthe generation of phase harmonics and, in the case of propagating transverse\ndust-lattice modes, to the modulational instability of the carrier wave due to\nself--interaction. The stability profile depends explicitly on the form of the\nelectric and magnetic fields in the plasma sheath. The long term evolution of\nthe modulated wave packet, which is described by a nonlinear\nSchr\\\"odinger--type equation (NLSE), may lead to propagating localized envelope\nstructures whose exact forms are presented and discussed. Explicit suggestions\nfor experimental investigations are put forward.",
    "arxiv_id": "physics/0404096",
    "authors": [
      "Ioannis Kourakis",
      "Padma Kant Shukla"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.atm-clus"
    ],
    "doi": "10.1063/1.1763577",
    "title": "Weakly nonlinear vertical dust grain oscillations in dusty plasma   crystals in the presence of a magnetic field",
    "url": "https://arxiv.org/abs/physics/0404096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6e750c76-70f5-4a16-bd59-b35b6b642666",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}