Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems
Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems
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DOI：
10.1103/physrevlett.126.104101
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发表时间：
2021-03-09
影响因子：
8.6
通讯作者：
Frey, Erwin
中科院分区：
文献类型：
--
作者：
Brauns, Fridtjof;Weyer, Henrik;Frey, Erwin
反应扩散系统中的波长选择可以理解为一个粗化过程，该过程被某些波长处的抵消过程中断。我们首先表明，在质量守恒系统的粗化是由相邻的高密度域之间的自放大质量输运。我们推导出一个一般的粗化标准，并表明粗化一般是不间断的两个组件系统，保持质量。然后，该理论被推广到研究中断粗化和反粗化由于弱打破质量守恒，提供了一个一般的路径来分析波长选择图案形成远离平衡。
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.