Effective action approach to evaluation of velocity gradient PDFs in a Lagrangian turbulence model
Leonardo Grigorio (CEFET/RJ - UnED Nova Friburgo)
| Quand ? |
Le 26/02/2015, de 10:45 à 12:00 |
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| Où ? | Salle 115 |
| Participants |
Leonardo Grigorio |
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The Recent Fluid Deformation Closure (RFDC) model of lagrangian turbulence is recast in path-integral language within the framework of the Martin-Siggia-Rose functional formalism. In order to derive analytical expressions for the velocity-gradient probability distribution functions (vgPDFs), we carry out noise renormalization in the low-frequency regime and find approximate extrema for the Martin-Siggia-Rose effective action. We verify, with the help of Monte Carlo simulations, that the vgPDFs so obtained yield a close description of the single-point statistical features implied by the original RFDC stochastic differential equations.