Berlin 2012 – wissenschaftliches Programm
DY 16.4: Vortrag
Mittwoch, 28. März 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.