{
  "id": "2308.13744",
  "version": "v1",
  "published": "2023-08-26T03:08:32.000Z",
  "updated": "2023-08-26T03:08:32.000Z",
  "title": "Fluctuation relation in continuous-time random walks driven by an external field",
  "authors": [
    "Kazuhiko Seki"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study a fluctuation relation representing a nonequilibrium equality indicating that the ratio between the distribution of trajectories obtained by exchanging the initial and final positions is characterized by free energy differences for the duration of the trajectories.We use a continuous-time lattice random walk model under a general waiting-time distribution of transitions to consider the fluctuation relation for noninteracting charge carriers driven by an external electric field. The fluctuation relation is obtained irrespective of the lattice structure factor, the form of the waiting-time distribution, and the presence of a reflecting boundary. In free space without boundary conditions, exchanging the initial and final positions is equivalent to exchanging the field (or drift) directions. However, we show that the exchanging field (or drift) directions are not relevant for studying the fluctuation relation under the reflecting boundary condition. Because the fluctuation relation should hold for continuous-time random walk models, it can be used to ensure internal consistency in theoretical modeling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-26T03:08:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fluctuation relation",
      "continuous-time random walks driven",
      "external field",
      "continuous-time lattice random walk model",
      "continuous-time random walk models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}