Regensburg 2022 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 45: Poster Session: Nonlinear Dynamics, Pattern Formation, Data Analytics and Machine Learning

DY 45.2: Poster

Donnerstag, 8. September 2022, 15:00–18:00, P2

Pattern Formation in non-ideal systems: From Turing patterns to active droplets — •Lucas Menou and David Zwicker — Max Planck Institute für dynamik und selbstorganisation, Göttingen, Germany

Turing's seminal reaction-diffusion model explains how patterns form in non-equilibrium systems. Typical Turing models assume ideal diffusion, which implies dilute or ideal systems. In contrast, active droplets use chemical reactions to control phase separation emerging in strongly interacting systems. We unite both theories by combining the classical Cahn-Hilliard model, which describes non-ideal solutions, with the typical non-linear reactions responsible for Turing patterns. We find that interactions can promote or suppress the emergence of periodic patterns. Interestingly, patterns can form even when all species have equal diffusivity, which is impossible in traditional Turing models. Taken together, our theory shows a rich behavior that interpolates between the traditional Turing patterns and active droplets.