Statistical mechanics of the phrase transition to turbulence: Zonal flows, ecological collapse and extreme value statistics

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Event Details
  • Date/Time:
    • Thursday April 21, 2016 - Friday April 22, 2016
      11:00 am - 11:59 am
  • Location: Klaus Buliding, room 2443
  • Phone:
  • URL:
  • Email:
  • Fee(s):
    free
  • Extras:
Contact

Dione Morton

dione.morton@physics.gatech.edu

Summaries

Summary Sentence: School of Physics Colloquium

Full Summary: No summary paragraph submitted.

Media
  • Nigel Goldenfeld Nigel Goldenfeld
    (image/jpeg)

Abstract:

How do fluids become turbulent as their flow velocity is increased? In recent years, careful experiments in pipes and Taylor-Couette systems have revealed that the lifetime of transient turbulent regions in a fluid appears to diverge with flow velocity just before the onset of turbulence, faster than any power law or exponential function. I show how this superexponential scaling of the turbulent lifetime in pipe flow is related to extreme value statistics, which I show is a manifestation of a mapping between transitional turbulence and the statistical mechanics model of directed percolation.  This mapping itself arises from a further surprising and remarkable connection: laminar and turbulent regions in a fluid behave as a predator-prey ecosystem. Such ecosystems are governed by individual fluctuations in the population and being naturally quantized, are solvable by path integral techniques from field theory. I explain the evidence for this mapping, and propose how a unified picture of the transition to turbulence emerges in systems ranging from turbulent convection to magnetohydrodynamics.

Additional Information

In Campus Calendar
Yes
Groups

School of Physics

Invited Audience
Undergraduate students, Faculty/Staff, Public, Graduate students
Categories
Seminar/Lecture/Colloquium
Keywords
School of Physics
Status
  • Created By: Dione Morton
  • Workflow Status: Published
  • Created On: Apr 13, 2016 - 10:51am
  • Last Updated: Apr 13, 2017 - 5:16pm