Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles
Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles
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DOI：
10.1016/j.physa.2020.125536
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发表时间：
2021-03
影响因子：
3.3
通讯作者：
Yang F. Yu;Chase A. Fuller;M. K. McGuire;R. Glaser;Nathaniel J. Smith;N. Manz;J. Lindner
中科院分区：
文献类型：
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作者：
Yang F. Yu;Chase A. Fuller;M. K. McGuire;R. Glaser;Nathaniel J. Smith;N. Manz;J. Lindner
在最近的一份出版物(Smith等人，2019年)中，我们记录了被硬凸面障碍破坏的反应扩散波前的明显恢复。在这里，我们将工作扩展到包括凹形、螺旋、分形、随机和软障碍。依赖于曲率的波前速度最终恢复了波前，微扰作为时间的幂函数衰减。但凹形、螺旋形和分形形的障碍物可以在当地维持很长时间的波前。具有可变扩散系数的软障碍物，无论是本质上还是由于光敏感性，都可以强制单向传播，如果配置得当，可以局部和无限期地维持入射波前，为这些可兴奋的系统创造时钟或中继器，跳动心脏。
In a recent publication (Smith et al., 2019), we documented the distinct recovery of reaction–diffusion wavefronts disrupted by hard convex obstacles. Here, we extend that work to include concave, spiral, fractal, random, and soft obstacles. Curvature dependent wavefront velocities ultimately restore the wavefronts, with perturbations that decay as power-law functions of time. But concave, spiral, and fractal obstacles can sustain wavefronts locally for long times. Soft obstacles with variable diffusivity, either intrinsically or due to light sensitivity, can enforce one-way propagation and, appropriately configured, can locally and indefinitely sustain incident wavefronts, creating clocks or repeaters, beating hearts for these excitable systems.