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SUMMARY:Nonequilibrium Statistical Mechanics: From Heat Transport To Hydro
 dynamic Turbulence
DTSTART:20130530T171500
DTEND:20130530T181500
DTSTAMP:20260415T024321Z
UID:f25e045db42b15bd36336b17eb58131caacb2ac37f42d8870a1ab00d
CATEGORIES:Conferences - Seminars
DESCRIPTION:David Ruelle\n(IHES)\nNonequilibrium statistical mechanics is 
 a program rather than a theory. The program is to understand macroscopic p
 roperties of matter from microscopic dynamics. Here we take microscopic dy
 namics to be a perturbation of (classical) Hamiltonian dynamics. We are th
 us led to studying the ergodic theory of smooth dynamical systems to try t
 o understand macroscopic non equilibrium physics. Fortunately we have now 
 a fairly good understanding of the ergodic theory of some chaotic smooth d
 ynamical systems\, namely the results on hyperbolic systems by Liverani\, 
 Pollicott\, Dolgopyat\, Baladi\, Tsujii\, and many others. Unfortunately w
 e know much less about non uniformly hyperbolic dynamics. The physics of t
 ransport phenomena\, in particular heat transport\, immediately leads to p
 artially hyperbolic (non hyperbolic) dynamics\; a difficult perturbation t
 heorem by Dolgopyat barely provides some understanding of the situation. I
 n the present lecture I shall discuss the problem of heat transport along 
 the lines indicated above\, and the mathematically related problem of the 
 turbulent energy cascade in hydrodynamics.
LOCATION:CM 1 1 https://plan.epfl.ch/?room==CM%201%201
STATUS:CONFIRMED
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