--- _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' ...