Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Poster: Nonlinear Dynamics, Granular Matter, and Machine Learning
DY 41.8: Poster
Mittwoch, 11. März 2026, 15:00–18:00, P5
Mesoscopic interface laws in patterns formed by non-equilibrium cell polarity models — •Tobias Alexander Roth1, Henrik Weyer2, and Erwin Frey1,3 — 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universität München — 2Kavli Institute for Theoretical Physics, UCSB — 3Max Planck School Matter to Life
Inspired by minimal models for protein-based polarization of living cells, we investigate the dynamics of interfaces in quasi-stationary patterns generated by two-component mass-conserving reaction-diffusion systems. These models describe two density fields that diffuse and interconvert through chemical reactions. Simulations reveal that for fast reactions sharp interfaces emerge, that separate high- and low density regions, which coarsen over time and eventually become a single patch. To quantitatively describe this process, we derive reduced descriptions for the motion of these interfaces, which are strikingly similar to what is found in crystal growth processes with dynamic heat deposition. Our derivation allows for a diffusio-chemical version of surface tension and kinetic drag and explains a cross-over in coarsening exponents. Taken together, we put non-equilibrium two-component models in context to classical thermodynamic models and give insight into biological self organization.
Keywords: Interface dynamics; Coarsening exponents; Tension; Cell polarity; Matched asymptotics