Freezing transition in decaying Burgers turbulence

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• Prof Yan Fyodorov, Queen Mary U of London
• Thursday 22 March 2012, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Dr Dimitri M Gangardt.

We reveal a phase transition with decreasing viscosity in one-dimensional decaying Burgers turbulence with a power-law correlated random profile of Gaussian-distributed initial velocities \sim|x-x’|^{-2}. The low-viscosity phase exhibits non-Gaussian one-point probability density of velocities, continuously dependent on viscosity, reflecting a spontaneous one step replica symmetry breaking (RSB) in the associated statistical mechanics problem. We obtain the low orders cumulants analytically. Our results, which are checked numerically, are based on combining insights in the mechanism of the freezing transition in random logarithmic potentials with an extension of duality relations discovered recently in Random Matrix Theory. The presentation will be based on the joint work with P. Le Doussal (ENS, Paris) and A. Rosso (Orsay).

This talk is part of the Theoretical Physics Seminars series.

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