Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities

Yan V Fyodorov (1) , Pierre Le Doussal (2) , Alberto Rosso (3)

1 School of Mathematical Sciences [Nottingham]
2 LPTENS - Laboratoire de Physique Théorique de l'ENS [École Normale Supérieure]
3 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

We reveal a phase transition with decreasing viscosity $\nu$ at \nu=\nu_c>0 in one-dimensional decaying Burgers turbulence with a power-law correlated random profile of Gaussian-distributed initial velocities

Domaines: Dynamique Chaotique [nlin.CD]; Mécanique statistique [cond-mat.stat-mech]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Yan V Fyodorov, Pierre Le Doussal, Alberto Rosso. Freezing Transition in Decaying Burgers Turbulence and Random Matrix Dualities. EPL - Europhysics Letters, 2010, 90, pp.60004. ⟨10.1209/0295-5075/90/60004⟩. ⟨hal-00520455⟩