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arXiv · 2005.01495

Wavelength selection by interrupted coarsening in reaction-diffusion systems

Fridtjof Brauns·Henrik Weyer·Jacob Halatek·Junghoon Yoon·Erwin Frey
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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 anti-coarsening due to weakly-broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.

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Fridtjof Brauns, Henrik Weyer, Jacob Halatek, Junghoon Yoon, Erwin Frey. 2020-05-04. Wavelength selection by interrupted coarsening in reaction-diffusion systems. https://doi.org/10.1103/physrevlett.126.104101

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