{
  "id": "2405.08212",
  "version": "v1",
  "published": "2024-05-13T21:57:01.000Z",
  "updated": "2024-05-13T21:57:01.000Z",
  "title": "Macroscopic Fluctuation Theory for Ginzburg-Landau dynamics with long range interactions",
  "authors": [
    "Cédric Bernardin",
    "Raphaël Chetrite"
  ],
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP",
    "math.PR"
  ],
  "abstract": "Focusing on a famous class of interacting diffusion processes called Ginzburg-Landau (GL) dynamics, we extend the Macroscopic Fluctuations Theory (MFT) to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-13T21:57:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long range interactions",
      "macroscopic fluctuation theory",
      "ginzburg-landau dynamics",
      "non-linear fractional diffusion equations",
      "macroscopic fluctuations theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}