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DY: Fachverband Dynamik und Statistische Physik

DY 28: Pattern Formation and Reaction-Diffusion Systems

DY 28.6: Vortrag

Dienstag, 17. März 2020, 11:30–11:45, ZEU 147

Pattern selection in reaction diffusion systems — Srikanth Subramanian and •Sean Murray — Max Planck Institute for Terrestrial Microbiology, Marburg, Germany

Turing's theory of pattern formation has been used to describe self-organisation in many biological, chemical and physical systems. However, while conditions sufficient for the existence of patterns are known, the nonlinear mechanisms responsible for pattern selection are not. Here, we show the physical principle of mass flow through the system has a critical role in pattern determination. In particular, mass flow, rather than growing Fourier modes, underlies the regular positioning of peaks within a pattern and is responsible for a competition instability that leads to a reduction in the number of peaks. These results also explain the coarsening and lack of peak movement observed in the limit of no mass flow, namely, in mass-conserved systems.