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MP: Theoretische und Mathematische Grundlagen der Physik

MP 1: Hauptvorträge I

MP 1.3: Hauptvortrag

Dienstag, 8. März 2005, 12:05–13:00, TU MA043

Simple models of turbulent advection — •Krzysztof Gawedzki — Laboratoire de Physique, ENS Lyon

Turbulent advection of pollutants, heat, chemical agents or magnetic fields is a non-equilibrium phenomenon with applications to environmental issues, meteorology, engineering or astrophysics. The simplest models of turbulent transport study passive advection of scalar or vector quantities by random velocities with prescribed statistics and may be viewed as examples of random dynamical systems. Such reduced models show many expected features of the full-fledged hydrodynamic turbulence, including cascades of conserved quantities and intermittency. Their analysis allows to relate transport properties of flows to non standard behaviors of fluid particles that is made possible by the lack of regularity of turbulent velocities. The simplified models exhibit a new robust mechanism of intermittency involving hidden statistically conserved quantities.