{
  "id": "1208.0295",
  "version": "v3",
  "published": "2012-08-01T17:34:07.000Z",
  "updated": "2012-09-02T07:42:36.000Z",
  "title": "Classical double-well systems coupled to finite baths",
  "authors": [
    "Hideo Hasegawa"
  ],
  "comment": "31 pages, 17 figures, revised figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We have studied properties of a classical $N_S$-body double-well system coupled to an $N_B$-body bath, performing simulations of $2(N_S+N_B)$ first-order differential equations with $N_S \\simeq 1 - 10$ and $N_B \\simeq 1 - 1000$. A motion of Brownian particles in the absence of external forces becomes chaotic for appropriate model parameters such as $N_B$, $c_o$ (coupling strength), and $\\{\\omega_n\\}$ (oscillator frequency of bath): For example, it is chaotic for a small $N_B$ ($\\lesssim 100$) but regular for a large $N_B$ ($\\gtrsim 500$). Detailed calculations of the stationary energy distribution of the system $f_S(u)$ ($u$: an energy per particle in the system) have shown that its properties are mainly determined by $N_S$, $c_o$ and $T$ (temperature) but weakly depend on $N_B$ and $\\{\\omega_n \\}$. The calculated $f_S(u)$ is analyzed with the use of the $\\Gamma$ distribution. Difference and similarity between properties of double-well and harmonic-oscillator systems coupled to finite bath are discussed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-02T07:42:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical double-well systems",
      "finite bath",
      "body double-well system",
      "properties",
      "first-order differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0295H"
    }
  }
}