---
_id: '2232'
abstract:
- lang: eng
text: The purpose of this contribution is to summarize and discuss recent advances
regarding the onset of turbulence in shear flows. The absence of a clear-cut instability
mechanism, the spatio-temporal intermittent character and extremely long lived
transients are some of the major difficulties encountered in these flows and have
hindered progress towards understanding the transition process. We will show for
the case of pipe flow that concepts from nonlinear dynamics and statistical physics
can help to explain the onset of turbulence. In particular, the turbulent structures
(puffs) observed close to onset are spatially localized chaotic transients and
their lifetimes increase super-exponentially with Reynolds number. At the same
time fluctuations of individual turbulent puffs can (although very rarely) lead
to the nucleation of new puffs. The competition between these two stochastic processes
gives rise to a non-equilibrium phase transition where turbulence changes from
a super-transient to a sustained state.
article_number: P02001
article_processing_charge: No
article_type: original
author:
- first_name: Baofang
full_name: Song, Baofang
id: a79e57f5-e8a5-11ec-9dc9-83fb8c81cf72
last_name: Song
- first_name: Björn
full_name: Hof, Björn
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
citation:
ama: Song B, Hof B. Deterministic and stochastic aspects of the transition to turbulence.
Journal of Statistical Mechanics Theory and Experiment. 2014;2014(2). doi:10.1088/1742-5468/2014/02/P02001
apa: Song, B., & Hof, B. (2014). Deterministic and stochastic aspects of the
transition to turbulence. Journal of Statistical Mechanics Theory and Experiment.
IOP Publishing. https://doi.org/10.1088/1742-5468/2014/02/P02001
chicago: Song, Baofang, and Björn Hof. “Deterministic and Stochastic Aspects of
the Transition to Turbulence.” Journal of Statistical Mechanics Theory and
Experiment. IOP Publishing, 2014. https://doi.org/10.1088/1742-5468/2014/02/P02001.
ieee: B. Song and B. Hof, “Deterministic and stochastic aspects of the transition
to turbulence,” Journal of Statistical Mechanics Theory and Experiment,
vol. 2014, no. 2. IOP Publishing, 2014.
ista: Song B, Hof B. 2014. Deterministic and stochastic aspects of the transition
to turbulence. Journal of Statistical Mechanics Theory and Experiment. 2014(2),
P02001.
mla: Song, Baofang, and Björn Hof. “Deterministic and Stochastic Aspects of the
Transition to Turbulence.” Journal of Statistical Mechanics Theory and Experiment,
vol. 2014, no. 2, P02001, IOP Publishing, 2014, doi:10.1088/1742-5468/2014/02/P02001.
short: B. Song, B. Hof, Journal of Statistical Mechanics Theory and Experiment 2014
(2014).
date_created: 2018-12-11T11:56:28Z
date_published: 2014-02-01T00:00:00Z
date_updated: 2022-06-10T10:13:15Z
day: '01'
department:
- _id: BjHo
doi: 10.1088/1742-5468/2014/02/P02001
external_id:
arxiv:
- '1403.4516'
intvolume: ' 2014'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1403.4516
month: '02'
oa: 1
oa_version: Submitted Version
publication: Journal of Statistical Mechanics Theory and Experiment
publication_identifier:
issn:
- '17425468'
publication_status: published
publisher: IOP Publishing
publist_id: '4729'
quality_controlled: '1'
status: public
title: Deterministic and stochastic aspects of the transition to turbulence
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2014
year: '2014'
...