{
  "annotation_id": "274276ab-9625-408c-ab71-e94f08bba6c2",
  "date_created": "2026-03-02T18:00:28.859000Z",
  "date_modified": "2026-03-02T18:00:28.859000Z",
  "file_hash": "1da6d1dc5156d9b3eb138a39039be91a48dde0a098ac04f973a67178b973e13c",
  "private": false,
  "record": {
    "abstract": "A discrete phi^4 system is proposed which preserves the topological lower\nbound on the kink energy. Existence of static kink solutions saturating this\nlower bound and occupying any position relative to the lattice is proved.\nConsequently, kinks of the model experience no Peierls-Nabarro barrier, and can\nmove freely through the lattice without being pinned. Numerical simulations\nreveal that kink dynamics in this system is significantly less dissipative than\nthat of the conventional discrete phi^4 system, so that even on extremely\ncoarse lattices the kink behaves much like its continuum counterpart. It is\nargued, therefore, that this is a natural discretization for the purpose of\nnumerically studying soliton dynamics in the continuum phi^4 model.",
    "arxiv_id": "patt-sol/9703005",
    "authors": [
      "J. M. Speight"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1088/0951-7715/10/6/010",
    "journal_ref": "Nonlinearity, 10 (1997) 1615-1625",
    "title": "A discrete phi^4 system without Peierls-Nabarro barrier",
    "url": "https://arxiv.org/abs/patt-sol/9703005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9803508e-8890-485d-b3af-b79f5901463a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}