Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Pattern Formation

DY 22.4: Vortrag

Dienstag, 10. März 2026, 10:15–10:30, ZEU/0118

The 3-Components Problem — •Davide Toffenetti¹, Beatrice Nettuno¹, Henrik Weyer², and Erwin Frey¹ — ¹Ludwig Maximilian University of Munich (LMU), Munich, Germany — ²KITP, UC Santa Barbara, USA

Our work aims to develop a general framework for understanding pattern formation in mass-conserving reaction-diffusion systems. Earlier studies [1] identified the key principles underlying pattern formation in two-component mass-conserving reaction-diffusion (2cMcRD) systems and showed that such systems typically exhibit coarsening dynamics, analogous to liquid-liquid phase separation.

Here, we extend this approach by introducing a minimal three-component mass-conserving reaction-diffusion (3cMcRD) model. We demonstrate that 3cMcRD systems can generate finite-wavelength patterns-also observed in the Min system-such as dots, stripes, and foam-like structures.

Using a local quasi-steady-state approximation, we determine the exact thresholds separating distinct pattern-forming regimes. In particular, we analyze how a fingering instability emerges from an initially flat interface, marking the transition to foam-like patterns, and identify the conditions under which coarsening is interrupted, leading to dot patterns. Our framework naturally generalizes to systems with more than three components.

[1] Weyer, Brauns & Frey (2023). Phys. Rev. E 108, 064202.

Keywords: pattern formation; active matter; foams; reaction diffusion; active model B +