{
  "id": "1303.6742",
  "version": "v1",
  "published": "2013-03-27T05:42:09.000Z",
  "updated": "2013-03-27T05:42:09.000Z",
  "title": "Work fluctuations in a time-dependent harmonic potential: rigorous results and beyond the overdamped limit",
  "authors": [
    "Chulan Kwon",
    "Jae Dong Noh",
    "Hyunggyu Park"
  ],
  "comment": "12 pages, 7 figures",
  "journal": "Phys. Rev. E 88, 062102 (2013)",
  "doi": "10.1103/PhysRevE.88.062102",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the stochastic motion of a Brownian particle in the harmonic potential with a time-dependent force constant. It may describe the motion of a colloidal particle in an optical trap where the potential well is formed by a time-dependent field. We use the path integral formalism to solve the Langevin equation and the associated Fokker-Planck (Kramers) equation. Rigorous relations are derived to generate the probability density function for the time-dependent nonequilibrium work production beyond the overdamped limit. We find that the work distribution exhibits an exponential tail with a power-law prefactor, accompanied by an interesting oscillatory feature (multiple pseudo locking-unlocking transitions) due to the inertial effect. Some exactly solvable cases are also discussed in the overdamped limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-27T05:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.10.Gg",
      "05.40.-a"
    ],
    "keywords": [
      "time-dependent harmonic potential",
      "overdamped limit",
      "work fluctuations",
      "rigorous results",
      "time-dependent nonequilibrium work production"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2013,
      "month": "Dec",
      "volume": 88,
      "number": 6,
      "pages": "062102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvE..88f2102K"
    }
  }
}