Discontinuous transition to spatiotemporal intermittency in plane Couette flow

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1998 EDP Sciences
, , Citation S. Bottin et al 1998 EPL 43 171 DOI 10.1209/epl/i1998-00336-3

0295-5075/43/2/171

Abstract

The plane Couette flow undergoes a globally sub-critical transition to turbulence. Turbulent spots generated by localized finite-amplitude perturbations evolve differently depending on the Reynolds number R. Below Ru ≃ 312 they decay rapidly; above Rc ≃ 323 a fraction of spots turns to sustained turbulent patches and an average turbulent fraction can be defined, that slowly increases with R. Lifetime histograms of patches quenched in the range R∊[Ru,Rc] display a well-defined exponentially decreasing tail. This behavior is reminiscent of the discontinuous transition to spatiotemporal chaos via spatiotemporal intermittency observed in certain two-dimensional lattices of coupled map.

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10.1209/epl/i1998-00336-3