Dresden 2017 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Fluid Dynamics and Turbulence
DY 33.12: Vortrag
Mittwoch, 22. März 2017, 13:00–13:15, ZEU 160
Pattern-fluid interpretation of chemical turbulence — •Gerd E. Schröder-Turk1,2, Christian Scholz2, and Klaus Mecke2 — 1Murdoch University, Perth, WA, Australien — 2Friedrich-Alexander Universität Erlangen-Nürnberg Erlangen
The formation of heterogeneous patterns is a hallmark of many nonlinear systems. The standard model for pattern formation in general, and for Turing patterns in chemical reaction-diffusion systems in particular, are deterministic nonlinear partial differential equations where an unstable homogeneous solution gives way to a stable heterogeneous pattern. However, these models fail to explain the experimental observation of turbulent patterns with spatio-temporal disorder in chemical systems. Here we introduce a pattern-fluid model as a concept where turbulence is interpreted as a weakly interacting ensemble obtained by random superposition of stationary solutions to the underlying reaction-diffusion system. The transition from turbulent to stationary patterns is interpreted as a condensation phenomenon, where the nonlinearity forces one single mode to dominate the ensemble. This model leads to better reproduction of the experimental concentration profiles for the ’stationary phases’ and reproduces the turbulent chemical patterns observed by in Ouyang and Swinney [1]. This results presented here have been published in ref [2].
[1] Ouyang and Swinney, Chaos 1, 411 (1991)
[2] Scholz et al, Physical Review E 91, 042907 (2015)