Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

Brauns, Fridtjof; Weyer, Henrik; Halatek, Jacob; Yoon, Junghoon und Frey, Erwin (2021): Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems. In: Physical Review Letters, Bd. 126, Nr. 10, 104101

Abstract

Wavelength selection in reaction-diffusion systems can be understood as a coarsening process that is interrupted by counteracting processes at certain wavelengths. We first show that coarsening in mass-conserving systems is driven by self-amplifying mass transport between neighboring high-density domains. We derive a general coarsening criterion and show that coarsening is generically uninterrupted in two-component systems that conserve mass. The theory is then generalized to study interrupted coarsening and anticoarsening due to weakly broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 0031-9007
• Sprache: Englisch