Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 16: Fluid dynamics and turbulence II

DY 16.4: Talk

Wednesday, March 28, 2012, 11:00–11:15, MA 144

Gaussian vortex approximation to the instanton equations of two-dimensional turbulence — •Kolja Kleineberg and Rudolf Friedrich — Institute for Theoretical Physics, University of Münster, Germany

We investigate two dimensional turbulence within the instanton formalism. The instanton formalism determines the most probable field in a stochastic classical field theory starting from the Martin-Siggia-Rose path integral. To this end, we derive a history dependent equation for the Langrangian velocity and vorticity field using a point vortex approach. A variational ansatz using elliptical vortices leads to a set of evolution equations for the positions and the shapes of the vortices. We discuss the relationship of this dynamical system to the inverse cascade process of two-dimensional turbulence.