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SUMMARY:Fluid Turbulence and Statistical Physics: Novel Links and Fresh Di
 rections - Gregory Eyink (Johns Hopkins University)
DTSTART:20220107T153000Z
DTEND:20220107T163000Z
UID:TALK166447@talks.cam.ac.uk
DESCRIPTION:In the great tradition linking turbulence and statistical phys
 ics\, we discuss new connections that hold great promise for important pro
 gress\, mainly for high Reynolds number turbulence but also for transition
 al turbulence and bridging the wide range of intermediate Reynolds numbers
 .&nbsp\;First we discuss recent work showing that thermal noise become sig
 nificant already at the Kolmogorov scale\, making it clear that determinis
 tic Navier-Stokes equation is inadequate&nbsp\;to describe the turbulent d
 issipation range in molecular fluids. Second\, we discuss how indeterminac
 y from molecular noise propagates to any length scale in the turbulent flo
 w within one eddy turnover time at that scale\, and relations with &ldquo\
 ;spontaneous stochasticity&rdquo\; of Lagrangian particle trajectories and
  the Nash non-rigidity phenomenon discovered in the convex integration con
 structions of weak Euler solutions. &nbsp\;Finally\, in wall-bounded flows
  we discuss a classical Josephson-Anderson relation\, analogous to those i
 n superfluids and superconductors\, which explains drag by the flux of spa
 nwise vorticity away from the wall and across the streamlines of the backg
 round potential Euler flow. This relation makes important connections with
  the Onsager theory for wall-bounded turbulence\, the D&rsquo\;Alembert pa
 radox\, and large-eddy simulation modelling of turbulence in the presence 
 of solid boundaries.
LOCATION:Seminar Room 1\, Newton Institute
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