Bose-like condensation of Lagrangian particles and higher-order statistics in passive scalar turbulent advection
Laboratoire de Spectrométrie Physique, UMR5588 CNRS and Université Joseph Fourier-Grenoble 1 BP87, 38402 Saint-Martin d'Hères Cédex, France, EU
Accepted: 30 August 2010
We establish an hitherto hidden connection between zero modes and instantons in the context of the Kraichnan model for passive scalar turbulent advection, that relies on the hypothesis that the production of strong gradients of the scalar is associated with Bose-like condensation of Lagrangian particles. It opens the way to the computation of scaling exponents of the N-th–order structure functions of the scalar by techniques borrowed from many-body theory. To lowest order of approximation, scaling exponents are found to increase asymptotically as logN in two dimensions.
PACS: 47.27.eb – Statistical theories and models / 02.50.-r – Probability theory, stochastic processes, and statistics
© EPLA, 2010