{
  "annotation_id": "843058cc-f139-4d29-8c0b-a757b935374c",
  "date_created": "2026-03-02T18:00:29.155000Z",
  "date_modified": "2026-03-02T18:00:29.155000Z",
  "file_hash": "85af678828d49548795bac2e3d7ab7ea0d8a5e88e8b3e6e4cc02dac20720ccbb",
  "private": false,
  "record": {
    "abstract": "Domain walls between spatially periodic patterns with different wave numbers,\ncan arise in pattern-forming systems with a neutral curve that has a double\nminimum. Within the framework of the phase equation, the interaction of such\nwalls is purely attractive. Thus, they annihilate each other and, if the total\nphase is not conserved, the final state will be periodic with a single wave\nnumber. Here we study the stability of arrays of domain walls (domain\nstructures) in a fourth-order Ginzburg-Landau equation. We find a discrete set\nof domain structures which differ in the quantized lengths of the domains. They\nare stable even without phase conservation, as, for instance, in the presence\nof a subcritical ramp in the control parameter. We attribute this to the\nspatially oscillatory behavior of the wave number which should lead to an\noscillatory interaction between the domain walls. These results are expected to\nshed also some light on the stability of two-dimensional zig-zag structures.",
    "arxiv_id": "patt-sol/9401004",
    "authors": [
      "David Raitt",
      "Hermann Riecke"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Domain Structures and Zig-Zag Patterns Modeled by a Fourth-Order   Ginzburg-Landau Equation",
    "url": "https://arxiv.org/abs/patt-sol/9401004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "891bbe01-6cbc-4a96-81ef-99c83f931d88",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}