{
  "id": "2103.16578",
  "version": "v1",
  "published": "2021-03-30T18:00:05.000Z",
  "updated": "2021-03-30T18:00:05.000Z",
  "title": "Thermodynamic uncertainty relation for first-passage times on Markov chains",
  "authors": [
    "Arnab Pal",
    "Shlomi Reuveni",
    "Saar Rahav"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional transitions, to provide a lower bound on FPT fluctuations. As every bidirectional transition can also be seen as a pair of separate unidirectional ones, our approach typically yields an ensemble of TURs. The tightest bound on FPT fluctuations can then be obtained from this ensemble by a simple and physically motivated optimization procedure. The results presented herein are valid for arbitrary initial conditions, out-of-equilibrium dynamics, and are therefore well suited to describe the inherently irreversible first-passage event. They can thus be readily applied to a myriad of first-passage problems that arise across a wide range of disciplines.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-30T18:00:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodynamic uncertainty relation",
      "first-passage times",
      "fpt fluctuations",
      "bidirectional transition",
      "arbitrary initial conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}