Instantons in a Lagrangian model of turbulence
1 : Laboratoire de Physique
École Normale Supérieure (ENS) - Lyon
The Recent Fluid Deformation Closure (RFDC) is a stochastic model of
Lagrangian turbulence which reduces drastically the number of degrees of
freedom compared to real turbulent flows. In this work we make use of
the path-integral formalism in order to calculate instantons solutions
and derive probability distribution functions of this model in the limit
of small noise. Analytical results can be obtained in some cases.