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  Deterministic and stochastic aspects of the transition to turbulence

Song, B., & Hof, B. (2014). Deterministic and stochastic aspects of the transition to turbulence. Journal of Statistical Mechanics, 2014, 1742-5468. doi:10.1088/1742-5468/2014/02/P02001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0F65-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-0F66-0
Genre: Journal Article

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 Creators:
Song, Baofang1, Author              
Hof, Björn1, Author              
Affiliations:
1Max Planck Research Group Complex Dynamics and Turbulence, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063292              

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Free keywords: phase transitions into absorbing states (experiment), turbulence, hydrodynamic instabilities
 Abstract: The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear ows. The absence of a clear-cut instability mechanism, the spatio-temporal intermittent character and extremely long lived transients are some of the major di culties encountered in these ows and have hindered progress towards understanding the transition process. We will show for the case of pipe ow that concepts from nonlinear dynamics and statistical physics can help to explain the onset of turbulence. In particular, the turbulent tructures (pu s) observed close to onset are spatially localized chaotic transients and their lifetimes increase super-exponentially with Reynolds number. At the same time uctuations of individual turbulent pu s can (although very rarely) lead to the nucleation of new pu s. 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.

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Language(s): eng - English
 Dates: 2014-02-14
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Degree: -

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Title: Journal of Statistical Mechanics
  Alternative Title : J. Stat. Mech.
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 2014 Sequence Number: - Start / End Page: 1742 - 5468 Identifier: -