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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Hydrodynamic turbulence as a problem in non-equili
 brium statistical mechanics - Ruelle\, DP (IHES)
DTSTART;TZID=Europe/London:20131101T090000
DTEND;TZID=Europe/London:20131101T093500
UID:TALK48653AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48653
DESCRIPTION:The problem of hydrodynamic turbulence is reformul
 ated as a heat flow problem along a chain of mecha
 nical systems which describe units of fluid of sma
 ller and smaller spatial extent. These units are m
 acroscopic but have few degrees of freedom\, and c
 an be studied by the methods of (microscopic) non-
 equilibrium statistical mechanics. The fluctuation
 s predicted by statistical mechanics correspond to
  the intermittency observed in turbulent flows. Sp
 ecifically\, we obtain the formula\n\n$$	zeta_p={p
 over3}-{1overlnkappa}lnGamma({pover3}+1) $$\n\nfor
  the exponents of the structure functions ($langle
 |Delta_rv|^p\nangle im r^{zeta_p}$). The meaning o
 f the adjustable parameter $kappa$ is that when an
  eddy of size $r$ has decayed to eddies of size $r
 /kappa$ their energies have a thermal distribution
 . The above formula\, with $(lnkappa)^{-1}=.32pm.0
 1$ is in good agreement with experimental data. Th
 is lends support to our physical picture of turbul
 ence\, a picture which can thus also be used in re
 lated problems.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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