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SUMMARY:Hydrodynamic turbulence as a problem in non-equilibrium statistica
 l mechanics - Ruelle\, DP (IHES)
DTSTART:20131101T090000Z
DTEND:20131101T093500Z
UID:TALK48653@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The problem of hydrodynamic turbulence is reformulated as a he
 at flow problem along a chain of mechanical systems which describe units o
 f fluid of smaller and smaller spatial extent. These units are macroscopic
  but have few degrees of freedom\, and can be studied by the methods of (m
 icroscopic) non-equilibrium statistical mechanics. The fluctuations predic
 ted by statistical mechanics correspond to the intermittency observed in t
 urbulent flows. Specifically\, we obtain the formula\n\n$$	zeta_p={pover3}
 -{1overlnkappa}lnGamma({pover3}+1) $$\n\nfor the exponents of the structur
 e functions ($langle|Delta_rv|^p\nangle im r^{zeta_p}$). The meaning of th
 e adjustable parameter $kappa$ is that when an eddy of size $r$ has decaye
 d to eddies of size $r/kappa$ their energies have a thermal distribution. 
 The above formula\, with $(lnkappa)^{-1}=.32pm.01$ is in good agreement wi
 th experimental data. This lends support to our physical picture of turbul
 ence\, a picture which can thus also be used in related problems.\n
LOCATION:Seminar Room 1\, Newton Institute
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