论文标题
通过反应扩散系统中的粗化选择波长选择
Wavelength selection by interrupted coarsening in reaction-diffusion systems
论文作者
论文摘要
反应中的波长选择 - 扩散系统可以理解为一种粗化过程，该过程被某些波长的应对过程中断。我们首先表明，质量持续系统的变形是由相邻高密度域之间自我扩增的质量传输驱动的。我们得出了一个普遍的粗化标准，并表明在保存质量的两个组件系统中，粗化通常不会中断。然后将该理论概括为研究由于弱破裂的质量保护而导致的破坏变质和抗磷脂的中断，从而提供了分析模式形成波长的一般途径，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 anti-coarsening due to weakly-broken mass conservation, providing a general path to analyze wavelength selection in pattern formation far from equilibrium.
