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UID:a88e62c1b1dce697516d0e8aa2af6187
CATEGORIES:Mathematical Physics Seminar
CREATED:20240314T230127
SUMMARY:Webinar: Gregory Eyink - Fluid Turbulence and Statistical Physics Collide  
DESCRIPTION:MATHEMATICAL PHYSICS WEBINAR\n RUTGERS UNIVERSITY\n________________________
 __________________\n  \nGregory Eyink – Johns Hopkins University\nWednesday
 , March 27th, 10:45AM EDT (Zoom meeting starts at 10:30 EDT) \n \nFluid Tur
 bulence and Statistical Physics Collide  \nWe present an overview of recent
  developments in fluid turbulence and new perspectives that they suggest in
  statistical physics. We begin with studies of effects of thermal fluctuati
 ons in very low Reynolds-number turbulence, which challenge the view of "ma
 croscopic fluctuation theory” that hydrodynamic behavior arises as a law of
  large numbers in a “scaling limit.” Instead, these studies support an alte
 rnative idea that fluctuating hydrodynamics originates from molecular dynam
 ics as a low-wavenumber “effective field theory”. This point of view has im
 plications also for laminar flows. For example, an asymptotic high-Schmidt 
 theory of liquid diffusion by Donev, Fai and vanden-Eijnden based on nonlin
 ear fluctuating hydrodynamics predicts that non-equilibrium concentration f
 luctuations in a liquid at rest subject to a concentration gradient arise b
 y a turbulent cascade process. This cascade generates non-Gaussian fluctuat
 ions with order unity skewness and flatness, inconsistent with a central li
 mit theorem. Experimental measurement of these higher-order correlations ma
 y therefore be able to distinguish between “effective field theory” and “ma
 croscopic fluctuation theory”. Furthermore, we present evidence that even a
 t very high Reynolds numbers effects of tiny thermal fluctuations can rando
 mize the largest eddies of a turbulent flow, contradicting a deterministic 
 “law of large numbers”. This effect arises from “spontaneous stochasticity”
 , a weak-noise critical behavior associated to an infinite number of fluid 
 histories with zero  Onsager-Machlup action (deterministic Euler solutions)
 , analogous to infinitely many ground states in mean-field spin glasses. Ex
 act renormalization group analysis of simple 1D models of spontaneous stoch
 asticity derives a novel “singular large deviations” mediated by non-unique
  zero-action histories, distinct from the standard large-deviations due to 
 weak-noise instantons which is predicted by macroscopic fluctuation theory.
  \n \n This talk is based on joint work with Nigel Goldenfeld, Dima Bandak,
  Alexei Mailybaev, John Bell, Alej Garcia, Andy Nonaka, and Amir Jafari. \n
X-ALT-DESC;FMTTYPE=text/html:<p style="text-align: center; background: white;"><strong>MATHEMATICAL PHYS
 ICS WEBINAR<br> RUTGERS UNIVERSITY</strong></p><p style="text-align: center
 ; background: white;"><strong>__________________________________________</s
 trong></p><p style="background: white;">&nbsp;<strong>&nbsp;</strong></p><p
  style="text-align: center; background: white;"><strong>Gregory Eyink – Joh
 ns Hopkins University</strong></p><p style="text-align: center; background:
  white;">Wednesday,&nbsp;March 27th,&nbsp;<strong>10:45AM EDT&nbsp;(Zoom me
 eting starts at 10:30 EDT)</strong>&nbsp;</p><p>&nbsp;</p><p style="text-al
 ign: center; background: white;"><strong>Fluid Turbulence and Statistical&n
 bsp;Physics Collide &nbsp;</strong></p><p>We present an overview of recent&
 nbsp;developments in fluid turbulence and new&nbsp;perspectives that they s
 uggest in statistical physics. We begin with&nbsp;studies&nbsp;of&nbsp;effe
 cts of thermal fluctuations in very low Reynolds-number turbulence,&nbsp;wh
 ich&nbsp;challenge&nbsp;the view of "macroscopic fluctuation theory” that h
 ydrodynamic&nbsp;behavior&nbsp;arises&nbsp;as a law of large numbers in a “
 scaling limit.” Instead, these studies&nbsp;support an&nbsp;alternative ide
 a that fluctuating hydrodynamics originates from molecular&nbsp;dynamics as
 &nbsp;a low-wavenumber “effective field theory”. This point of view has imp
 lications&nbsp;also for&nbsp;laminar flows. For example, an asymptotic high
 -Schmidt theory of liquid&nbsp;diffusion by&nbsp;Donev, Fai and vanden-Eijn
 den based on nonlinear fluctuating hydrodynamics&nbsp;predicts that non-equ
 ilibrium&nbsp;concentration fluctuations in a liquid at rest subject to a c
 oncentration&nbsp;gradient&nbsp;arise by a turbulent cascade process. This 
 cascade generates non-Gaussian&nbsp;fluctuations&nbsp;with order unity skew
 ness and flatness, inconsistent with a central limit&nbsp;theorem.&nbsp;Exp
 erimental measurement of these higher-order correlations may therefore be&n
 bsp;able to distinguish between “effective field theory” and “macroscopic f
 luctuation&nbsp;theory”. Furthermore,&nbsp;we present evidence that even at
  very high Reynolds numbers effects of&nbsp;tiny thermal&nbsp;fluctuations 
 can randomize the largest eddies of a turbulent flow, contradicting a&nbsp;
 deterministic “law of large numbers”. This effect arises from “spontaneous&
 nbsp;stochasticity”, a&nbsp;weak-noise critical behavior associated to an i
 nfinite number of fluid histories&nbsp;with zero&nbsp; Onsager-Machlup&nbsp
 ;action (deterministic Euler solutions), analogous to infinitely many groun
 d states&nbsp;in mean-field spin glasses. Exact renormalization group analy
 sis of&nbsp;simple 1D models of&nbsp;spontaneous stochasticity derives a no
 vel “singular large deviations” mediated&nbsp;by non-unique&nbsp;zero-actio
 n histories, distinct from the standard large-deviations&nbsp;due&nbsp;to&n
 bsp;weak-noise instantons which is predicted by macroscopic fluctuation&nbs
 p;theory.&nbsp;<br> <br> This&nbsp;talk is based on joint work with Nigel G
 oldenfeld, Dima Bandak, Alexei&nbsp;Mailybaev, John&nbsp;Bell, Alej Garcia,
  Andy Nonaka, and Amir Jafari.&nbsp;</p>
DTSTAMP:20260826T125141
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DTEND;TZID=America/New_York:20240327T114500
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