Gray-Scott Model at F 0.0140, k 0.0410  

These images and movie demonstrate the behavior of the Gray-Scott reaction-diffusion system with σ=Du/Dv=2 and parameters F=0.0140, k=0.0410.

Spots grow with smooth outer edges and feathered inside edges, mostly annihilating when they meet each other. However, a few sharp-edged decay products spawn new wavefronts. For about the next 2500 tu the pattern resembles the classic petri dish Belousov-Zhabotinsky reaction. Gradually the defects (proto-spiral seeds) increase in number, so that by the 10,000 tu there are many small irregular wavefronts. Protospirals remain stationary until disrupted by the arrival of another wave.

Categories: Munafo ξ; Wolfram 3    (glossary of terms)

             increase F

decrease k
after 78 tu
after 390 tu

15 frames/sec.; each fr. is 26 iter. steps = 13 tu; 1800 fr. total (23,400 tu)

increase k
after 1,430 tu after 5,850 tu after 23,400 tu
             decrease F
(Click on any image to magnify)

In these images:



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