{
  "id": "2311.06713",
  "version": "v1",
  "published": "2023-11-12T02:49:05.000Z",
  "updated": "2023-11-12T02:49:05.000Z",
  "title": "Thermalization in the Lenard-Jones gas",
  "authors": [
    "Rauoof Wani",
    "Vimal Kumar",
    "Mahendra Verma",
    "Sanat Tiwari"
  ],
  "comment": "5 pages, 5 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "In this letter, using energy transfers, we demonstrate a route to thermalization in an isolated ensemble of realistic gas particles. We performed a grid-free classical molecular dynamics simulation of two-dimensional Lenard-Jones gas. We start our simulation with a large-scale vortex akin to a hydrodynamic flow and study its non-equilibrium behavior till it attains thermal equilibrium. In the intermediate phases, small wavenumbers ($k$) exhibit $E(k) \\propto k^{-3}$ kinetic energy spectrum whereas large wavenumbers exhibit $E(k) \\propto k$ spectrum. Asymptotically, $E(k) \\propto k$ for the whole range of $k$, thus indicating thermalization. These results are akin to those of Euler turbulence despite complex collisions and interactions among the particles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-12T02:49:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermalization",
      "euler turbulence despite complex collisions",
      "grid-free classical molecular dynamics simulation",
      "two-dimensional lenard-jones gas",
      "large-scale vortex akin"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}