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SUMMARY:Freezing Transition in Decaying Burgers Turbulence and Random Matr
 ix Dualities - Yan Fyodorov (King's College London)
DTSTART:20181211T113000Z
DTEND:20181211T123000Z
UID:TALK115678@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We study one-dimensional decaying Burgers turbulence with the 
 covariance of initial profile<br> of Gaussian-distributed velocities decay
 ing as inverse square of the distance. Combining the<br> heuristic replica
  trick of statistical mechanics with insights from the random matrix theor
 y we<br> reveal a freezing phase transition with decreasing viscosity. In 
 the low-viscosity phase the<br> one-point probability density of velocitie
 s becomes non-Gaussian reflecting a spontaneous<br> one step replica symme
 try breaking in the associated statistical mechanics problem. We<br> obtai
 n the low orders velocity cumulants analytically which favourably agree wi
 th numerical<br> simulation. The presentation will be based on a joint wor
 k with P. Le Doussal and A. Rosso.
LOCATION:Seminar Room 1\, Newton Institute
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