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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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 Urheber:
Song, Baofang1, Autor           
Hof, Björn1, Autor           
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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Schlagwörter: phase transitions into absorbing states (experiment), turbulence, hydrodynamic instabilities
 Zusammenfassung: 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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Sprache(n): eng - English
 Datum: 2014-02-14
 Publikationsstatus: Erschienen
 Seiten: -
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Art des Abschluß: -

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Titel: Journal of Statistical Mechanics
  Alternativer Titel : J. Stat. Mech.
Genre der Quelle: Zeitschrift
 Urheber:
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Ort, Verlag, Ausgabe: -
Seiten: - Band / Heft: 2014 Artikelnummer: - Start- / Endseite: 1742 - 5468 Identifikator: -