Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles

Yang F. Yu, Chase A. Fuller, Margaret K. McGuire, Rebecca Glaser, Nathaniel J. Smith, Niklas Manz and John F. Lindner

Physica A: Statistical Mechanics and its Applications, 2021, vol. 565, issue C

Abstract: 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.

Keywords: Chemical clock; Fractal; Nonlinear wave; Numerical simulation; Obstacle; Reaction–diffusion system (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:565:y:2021:i:c:s0378437120308347

DOI: 10.1016/j.physa.2020.125536

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