English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Directed percolation phase transition to sustained turbulence in Couette flow.

MPS-Authors
/persons/resource/persons173661

Shi,  Liang
Max Planck Research Group Complex Dynamics and Turbulence, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173451

Avila,  Kerstin
Max Planck Research Group Complex Dynamics and Turbulence, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173452

Avila,  Marc
Max Planck Research Group Complex Dynamics and Turbulence, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173539

Hof,  Björn
Max Planck Research Group Complex Dynamics and Turbulence, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available
Citation

Lemoult, G., Shi, L., Avila, K., Jalikop, S. V., Avila, M., & Hof, B. (2016). Directed percolation phase transition to sustained turbulence in Couette flow. Nature Physics, 12(3), 254-258. doi:10.1038/nphys3675.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-3BB0-7
Abstract
Turbulence is one of the most frequently encountered non-equilibrium phenomena in nature, yet characterizing the transition that gives rise to turbulence in basic shear flows has remained an elusive task. Although, in recent studies, critical points marking the onset of sustained turbulence1, 2, 3 have been determined for several such flows, the physical nature of the transition could not be fully explained. In extensive experimental and computational studies we show for the example of Couette flow that the onset of turbulence is a second-order phase transition and falls into the directed percolation universality class. Consequently, the complex laminar–turbulent patterns distinctive for the onset of turbulence in shear flows4, 5 result from short-range interactions of turbulent domains and are characterized by universal critical exponents. More generally, our study demonstrates that even high-dimensional systems far from equilibrium such as turbulence exhibit universality at onset and that here the collective dynamics obeys simple rules.