{
  "annotation_id": "9979e585-8a53-45d7-ad73-8d0ff4d06490",
  "date_created": "2026-03-02T18:00:29.447000Z",
  "date_modified": "2026-03-02T18:00:29.447000Z",
  "file_hash": "c3bfa04030309d85600b8bdca614e2b5406a7cbe3b4ebdc8081910cfa0c2976e",
  "private": false,
  "record": {
    "abstract": "The effect of thermally generated bulk stochastic forces on the statistical\ngrowth dynamics of forwards bifurcating propagating macroscopic patterns is\ncompared with the influence of fluctuations at the boundary of a semiinfinite\nsystem, $0\u003cx$. To that end the linear complex Ginzburg-Landau amplitude\nequation with additive stochastic forcing is solved by a spatial Laplace\ntransformation in the presence of arbitrary boundary conditions for the\nfluctuations of the pattern amplitude at $x=0$. A situation where the latter\nare advected with an imposed through-flow from an outside upstream part towards\nthe inlet boundary at $x=0$ is investigated in more detail. The spatiotemporal\ngrowth behavior in the convectively unstable regime is compared with recent\nwork by Swift, Babcock, and Hohenberg [Physica A 204, 625 (1994)] where a\nspecial boundary condition is imposed.",
    "arxiv_id": "patt-sol/9708001",
    "authors": [
      "M. Luecke",
      "A. Szprynger"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.55.5509",
    "journal_ref": "Phys. Rev. E 55, 5509-5521 (1997)",
    "title": "Noise sustained pattern growth: Bulk versus boundary effects",
    "url": "https://arxiv.org/abs/patt-sol/9708001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c061b2d-d209-45dc-989c-e21e7dcd3177",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}