{
  "id": "0912.1312",
  "version": "v2",
  "published": "2009-12-07T19:09:20.000Z",
  "updated": "2023-03-05T17:45:47.000Z",
  "title": "Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems",
  "authors": [
    "Yuri G. Kondratiev",
    "Tobias Kuna",
    "Maria João Oliveira",
    "José Luís da Silva",
    "Ludwig Streit"
  ],
  "journal": "In: E. Carlen, P. Goncalves, A. J. Soares (eds) From Particle Systems to Partial Differential Equations. PSPDE 2022. Springer Proceedings in Mathematics & Statistics, vol 465",
  "doi": "10.1007/978-3-031-65195-3_7",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "An infinite particle system of independent jumping particles in infinite volume is considered. Their construction is recalled,further properties are derived, the relation with hierarchical equations, Poissonian analysis, and second quantization are discussed. The hydrodynamic limit for a general initial distribution satisfying a mixing condition is derived. The long time asymptotic is computed under an extra assumption. The relation with constructions based on infinite volume limits is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-07T19:09:20.000Z",
      "abstract": "An infinite particle system of independent jumping particles is considered. Their constructions is recalled, further properties are derived, the relation with hierarchical equations, Poissonian analysis, and second quantization are discussed. The hydrodynamic limit for a general initial distribution satisfying a mixing condition is derived. The large time asymptotic is computed under an extra assumption.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2023-03-05T17:45:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C21",
      "60G55",
      "60J75",
      "37A60"
    ],
    "keywords": [
      "free kawasaki dynamics",
      "continuous particle systems",
      "hydrodynamic limit",
      "large time asymptotic",
      "infinite particle system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1312K"
    }
  }
}