{
  "annotation_id": "27f0112b-cbb9-4e80-a77e-4f81691242b1",
  "date_created": "2026-03-02T18:01:07.093000Z",
  "date_modified": "2026-03-02T18:01:07.093000Z",
  "file_hash": "a90a591739c462f29cc9f6aa6209b400f9c99c45296bc06045796605770b9ea1",
  "private": false,
  "record": {
    "abstract": "A phenomenological model for the dissipation of scalar fluctuations due to\nthe straining by the fluid motion is proposed in this letter. An explicit\nequation is obtained for the time evolution of the probability distribution\nfunction of a coarse-grained scalar concentration. The model relies on a\nself-convolution process. We first present this model in the Batchelor regime\nand then extend empirically our result to the turbulent case. The inclusion of\nthis model in more general transport equations, including spatial gradients, is\ndiscussed in relation with 2D turbulence and stratified flows.",
    "arxiv_id": "physics/0603225",
    "authors": [
      "Antoine Venaille",
      "Joel Sommeria"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1063/1.2472506",
    "title": "A dynamical equation for the distribution of a scalar advected by   turbulence",
    "url": "https://arxiv.org/abs/physics/0603225"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ad640927-2ec7-4d8c-967e-62dd1c958e46",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}