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DY: Fachverband Dynamik und Statistische Physik

DY 18: Pattern Formation

DY 18.4: Vortrag

Dienstag, 18. März 2025, 14:45–15:00, H47

Efficient formation of Turing patterns using physical interactions — •Cathelijne ter Burg, Chengjie Luo, and David Zwicker — Max Planck Institute for Dynamics and Self-Organisation, Am Fassberg 17, Gottingen 37077, Germany

Turing patterns arise when an activating and an inhibitory component drive local activation and global inhibition of their production. Physical interactions between the components can facilitate such patterns. Using a thermodynamically-consistent version of such a model, we show that physical interactions lower the energetic requirements for forming patterns of a given length scale. Stronger physical interactions thus permit pattern formation for systems that are less active. However, we also found a dynamic regime where structures of well-defined length scales evolve chaotically for very strong physical interactions. This regime emerges from an interplay of coarsening and spinodal decomposition of bulk phases. We conclude that physical interactions of intermediate strength are energetically optimal for forming stationary patterns of a well-defined length scale.

Keywords: Turing Patterns; Energetic cost; Spinodal decomposition