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SUMMARY:Holographic turbulence - Chesler\, P (Massachusetts Institute of T
 echnology\, Harvard)
DTSTART:20130918T104500Z
DTEND:20130918T113000Z
UID:TALK47210@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Hong Liu (MIT)\, Allan Adams (MIT) \n\nAccording t
 o holography\, turbulent flows in relativistic boundary conformal field th
 eories should be dual to dynamical black hole solutions in asymptotically 
 AdS_{d+2} spacetime with d the number of spatial dimensions the turbulent 
 flow lives in. This immediately raises many interesting questions about gr
 avitational dynamics. For example\, what distinguishes turbulent black hol
 es from non-turbulent ones? What is the gravitational origin of energy cas
 cades and the Kolmogorov scaling observed in turbulent fluid flows?\n \nWe
  construct turbulent black holes in asymptotically AdS_4 spacetime by nume
 rically solving Einstein's equations. Both the dual holographic fluid and 
 bulk geometry display signatures of an inverse cascade with the bulk geome
 try being well approximated by the fluid/gravity gradient expansion. I wil
 l argue that statistically steady-state black holes dual to d dimensional 
 turbulent flows have horizons which are approximately fractal with fractal
  dimension D = d + 4/3. Time permitting I will discuss qualitative differe
 nces between holographic superfluid turbulence normal fluid turbulence.\n
LOCATION:Seminar Room 1\, Newton Institute
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