Brauns Fridtjof, Weyer Henrik, Halatek Jacob, Yoon Junghoon, Frey Erwin
Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstraße 37, D-80333 München, Germany.
Biological Computation Group, Microsoft Research, Cambridge CB1 2FB, United Kingdom.
Phys Rev Lett. 2021 Mar 12;126(10):104101. doi: 10.1103/PhysRevLett.126.104101.
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.
反应扩散系统中的波长选择可被理解为一个粗化过程，该过程会被某些波长下的反作用过程所中断。我们首先表明，质量守恒系统中的粗化是由相邻高密度区域之间的自增强质量传输驱动的。我们推导出一个通用的粗化准则，并表明在质量守恒的双组分系统中，粗化通常是不间断的。然后，该理论被推广以研究由于质量守恒的微弱破坏而导致的间断粗化和反粗化现象，为分析远离平衡态的图案形成中的波长选择提供了一条通用途径。
