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DY: Fachverband Dynamik und Statistische Physik
DY 43: Pattern Formation - organized by Azam Gholami (Göttingen)
DY 43.6: Talk
Wednesday, March 24, 2021, 15:40–16:00, DYa
Wavelength selection by interrupted coarsening in reaction–diffusion systems — Fridtjof Brauns1, •Henrik Weyer1, Jacob Halatek2, Junghoon Yoon1, and Erwin Frey1 — 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, D-80333 München, Germany — 2Biological Computation Group, Microsoft Research, Cambridge CB1 2FB, UK
Intracellular pattern formation may be described by (nearly) mass-conserving reaction–diffusion systems. Of these, two-component mass-conserving reaction–diffusion systems are paradigmatic models, also used to describe for example precipitation patterns or granular media systems. We will discuss that these mass-conserving models generically show uninterrupted coarsening because of positive feedback in the mass transport between neighbouring pattern domains. From this, a general coarsening criterion follows and the coarsening law may be determined.
We use this understanding to explain the arrest of coarsening due to weak source terms and predict the wavelength thereby selected. This analysis will exemplify how the phase-space structure of pattern-forming systems may be used to study wavelength selection far from equilibrium.