SKM 2023 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 5: Fluid Physics: Turbulence and Convection

DY 5.7: Talk

Monday, March 27, 2023, 11:30–11:45, MOL 213

Statistical field theory for a stochastic linear advection-stretching model for turbulence — Lukas Bentkamp, Maurizio Carbone, and •Michael Wilczek — Theoretical Physics I, University of Bayreuth, 95440 Bayreuth

A major obstacle in developing a statistical field theory of turbulence is the analysis of the functional equations that govern the complete statistics of the flow field. Simplified models of turbulence may help to develop such a statistical framework. In this contribution, we discuss the stochastic linear advection and stretching of an incompressible passive vector field as a model for small-scale turbulence. The model encompasses non-Gaussian statistics due to an intermittent energy flux from large scales to small scales, thereby displaying hallmark features of turbulence. We explore this model using the Hopf functional formalism, which naturally leads to a decomposition of the complex non-Gaussian statistics into Gaussian sub-ensembles based on different realizations of advection and stretching.

This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No. 101001081).