{
  "id": "1311.0953",
  "version": "v1",
  "published": "2013-11-05T03:20:02.000Z",
  "updated": "2013-11-05T03:20:02.000Z",
  "title": "Microcanonical work and fluctuation relations for an open system: An exactly solvable model",
  "authors": [
    "Yigit Subasi",
    "Christopher Jarzynski"
  ],
  "comment": "12 Pages",
  "journal": "Phys. Rev. E, 88, 042136 (2013)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the probability distribution of work for an exactly solvable model of a system interacting with its environment. The system of interest is a harmonic oscillator with a time dependent control parameter, the environment is modeled by $N$ independent harmonic oscillators with arbitrary frequencies, and the system-environment coupling is bilinear and not necessarily weak. The initial conditions of the combined system and environment are sampled from a microcanonical distribution and the system is driven out of equilibrium by changing the control parameter according to a prescribed protocol. In the limit of infinitely large environment, i.e. $N \\rightarrow \\infty$, we recover the nonequilibrium work relation and Crooks's fluctuation relation. Moreover, the microcanonical Crooks relation is verified for finite environments. Finally, we show the equivalence of multi-time correlation functions of the system in the infinite environment limit for canonical and microcanonical ensembles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-05T03:20:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.20.Gg",
      "05.40.Jc"
    ],
    "keywords": [
      "exactly solvable model",
      "open system",
      "microcanonical work",
      "time dependent control parameter",
      "independent harmonic oscillators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.88.042136",
      "year": 2013,
      "month": "Oct",
      "volume": 88,
      "number": 4,
      "pages": "042136"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvE..88d2136S"
    }
  }
}