{
  "id": "0801.2491",
  "version": "v1",
  "published": "2008-01-16T13:44:31.000Z",
  "updated": "2008-01-16T13:44:31.000Z",
  "title": "Dynamics of Annihilation II: Fluctuations of Global Quantities",
  "authors": [
    "P. Maynar",
    "M. I. Garcia de Soria",
    "G. Schehr",
    "A. Barrat",
    "E. Trizac"
  ],
  "comment": "19 pages",
  "journal": "Phys. Rev. E 77, 051128 (2008)",
  "doi": "10.1103/PhysRevE.77.051128",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We develop a theory for fluctuations and correlations in a gas evolving under ballistic annihilation dynamics. Starting from the hierarchy of equations governing the evolution of microscopic densities in phase space, we subsequently restrict to a regime of spatial homogeneity, and obtain explicit predictions for the fluctuations and time correlation of the total number of particles, total linear momentum and total kinetic energy. Cross-correlations between these quantities are worked out as well. These predictions are successfully tested against Molecular Dynamics and Monte-Carlo simulations. This provides strong support for the theoretical approach developed, including the hydrodynamic treatment of the spectrum of the linearized Boltzmann operator. This article is a companion paper to arXiv:0801.2299 and makes use of the spectral analysis reported there.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-16T13:44:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "02.50.-r",
      "51.10.+y",
      "05.20.Dd",
      "82.20.Nk"
    ],
    "keywords": [
      "global quantities",
      "fluctuations",
      "ballistic annihilation dynamics",
      "total kinetic energy",
      "total linear momentum"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "May",
      "volume": 77,
      "number": 5,
      "pages": "051128"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77e1128M"
    }
  }
}