Simon Thalabard

Turbulent pair dispersion as a continuous-time random walk Origine : Fichiers produits par l'(les) auteur(s)

Spontaneous stochasticity is a modern paradigm for turbulent transport at infinite Reynolds numbers. It suggests that tracer particles advected by rough turbulent flows and subject to additional thermal noise, remain nondeterministic in the limit where the random input, namely, the thermal noise, vanishes.

1. Introduction The notion of statistical symmetries shapes the modern description of fully developed turbulent states, along with the physical postulate that most of the symmetries of the Navier–Stokes (NS) equations, describing the dynamics of an incompressible velocity field u(x,t) in three-dimensional space and broken by the presence of driving and dissipative mechanisms, are restored in a statistical sense in a suitable limit of small scales ℓ and large Reynolds numbers [1].