---
_id: '12165'
abstract:
- lang: eng
  text: It may come as a surprise that a phenomenon as ubiquitous and prominent as
    the transition from laminar to turbulent flow has resisted combined efforts by
    physicists, engineers and mathematicians, and remained unresolved for almost one
    and a half centuries. In recent years, various studies have proposed analogies
    to directed percolation, a well-known universality class in statistical mechanics,
    which describes a non-equilibrium phase transition from a fluctuating active phase
    into an absorbing state. It is this unlikely relation between the multiscale,
    high-dimensional dynamics that signify the transition process in virtually all
    flows of practical relevance, and the arguably most basic non-equilibrium phase
    transition, that so far has mainly been the subject of model studies, which I
    review in this Perspective.
article_processing_charge: No
article_type: original
author:
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Hof B. Directed percolation and the transition to turbulence. <i>Nature Reviews
    Physics</i>. 2023;5:62-72. doi:<a href="https://doi.org/10.1038/s42254-022-00539-y">10.1038/s42254-022-00539-y</a>
  apa: Hof, B. (2023). Directed percolation and the transition to turbulence. <i>Nature
    Reviews Physics</i>. Springer Nature. <a href="https://doi.org/10.1038/s42254-022-00539-y">https://doi.org/10.1038/s42254-022-00539-y</a>
  chicago: Hof, Björn. “Directed Percolation and the Transition to Turbulence.” <i>Nature
    Reviews Physics</i>. Springer Nature, 2023. <a href="https://doi.org/10.1038/s42254-022-00539-y">https://doi.org/10.1038/s42254-022-00539-y</a>.
  ieee: B. Hof, “Directed percolation and the transition to turbulence,” <i>Nature
    Reviews Physics</i>, vol. 5. Springer Nature, pp. 62–72, 2023.
  ista: Hof B. 2023. Directed percolation and the transition to turbulence. Nature
    Reviews Physics. 5, 62–72.
  mla: Hof, Björn. “Directed Percolation and the Transition to Turbulence.” <i>Nature
    Reviews Physics</i>, vol. 5, Springer Nature, 2023, pp. 62–72, doi:<a href="https://doi.org/10.1038/s42254-022-00539-y">10.1038/s42254-022-00539-y</a>.
  short: B. Hof, Nature Reviews Physics 5 (2023) 62–72.
corr_author: '1'
date_created: 2023-01-12T12:10:18Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2024-10-09T21:04:02Z
day: '01'
department:
- _id: BjHo
doi: 10.1038/s42254-022-00539-y
external_id:
  isi:
  - '000890148700002'
fulldoi: https://doi.org/10.1038/s42254-022-00539-y
intvolume: '         5'
isi: 1
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '01'
oa_version: None
page: 62-72
publication: Nature Reviews Physics
publication_identifier:
  eissn:
  - 2522-5820
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Directed percolation and the transition to turbulence
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 5
year: '2023'
...