{
  "id": "1708.06060",
  "version": "v1",
  "published": "2017-08-21T02:18:16.000Z",
  "updated": "2017-08-21T02:18:16.000Z",
  "title": "An appetizer to modern developments on the Kardar-Parisi-Zhang universality class",
  "authors": [
    "Kazumasa A. Takeuchi"
  ],
  "comment": "33 pages, 16 figures, 1 table; lecture note prepared for Summer School \"Fundamental Problems in Statistical Physics XIV\" (16-29 July 2017, Bruneck, Italy)",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "The Kardar-Parisi-Zhang (KPZ) universality class describes a broad range of non-equilibrium fluctuations, including those of growing interfaces, directed polymers and particle transport, to name but a few. Since the year 2000, our understanding of the one-dimensional KPZ class has been completely renewed by mathematical physics approaches based on exact solutions. Mathematical physics has played the central role since then, leading to a myriad of new developments, but their implications are clearly not limited to mathematics -- as a matter of fact, it can also be studied experimentally. The aim of this lecture note is to provide an introduction to the field that is accessible to non-specialists, reviewing basic properties of the KPZ class and highlighting main physical outcomes of mathematical developments since the year 2000. It is written in a brief and self-contained manner, with emphasis put on physical intuitions and implications, while only a small (and mostly not the latest) fraction of mathematical developments could be covered. Liquid-crystal experiments by the author and coworkers are also reviewed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-21T02:18:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kardar-parisi-zhang universality class",
      "modern developments",
      "one-dimensional kpz class",
      "mathematical developments",
      "liquid-crystal experiments"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}