{
  "id": "2303.17227",
  "version": "v1",
  "published": "2023-03-30T08:49:52.000Z",
  "updated": "2023-03-30T08:49:52.000Z",
  "title": "Microscopic derivation of nonlinear fluctuating hydrodynamics for crystalline solid",
  "authors": [
    "Ken Hiura"
  ],
  "comment": "10 pages",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We present a microscopic derivation of the nonlinear fluctuating hydrodynamic equation for the homogeneous crystalline solid from the Hamiltonian description of a many-particle system. We propose a microscopic expression of the displacement field that correctly generates the nonlinear elastic properties of the solid and find the nonlinear mode-coupling terms in reversible currents which are consistent with the phenomenological equation. The derivation relies on the projection onto the coarse-grained fields including the displacement field, the long-wavelength expansion, and the stationarity condition of the Fokker-Planck equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-30T08:49:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microscopic derivation",
      "crystalline solid",
      "displacement field",
      "nonlinear fluctuating hydrodynamic equation",
      "nonlinear elastic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}