GrayScott Model at F 0.0860, k 0.0610
These images and movie demonstrate the behavior of the GrayScott reactiondiffusion system with σ=D_{u}/D_{v}=2 and parameters F=0.0860, k=0.0610.
Solitons are the only stable form; worms shrink into solitons. Any close pairs or groups of solitons will drift apart very slowly; drift speed diminishes exponentially with distance.
Categories: Munafo ν; Wolfram 2 (glossary of terms)
increase F  
decrease k 

15 frames/sec.; each fr. is 399 iter. steps = 199.5 tu; 1800 fr. total (359,100 tu)  increase k 
decrease F 
In these images:
 Color indicates level of u, ranging from purple (lowest u values) through blue, aqua, green, yellow and pink/red (highest u values)
 Areas where u is increasing are lightened to a light pastel tone; where u is decreasing the color is vivid.
 In areas where u is changing by less than ±3×10^{6} per tu, an intermediate pastel color is seen. This includes areas that are in steady state or equilibrium.
''tu'' is the dimensionless unit of time, and ''lu'' the dimensionless unit of length, implicit in the equations that define the reactiondiffusion model. The grids for these simulations use Δx=1/143 lu and Δt=1/2 tu; the system is 3.2 lu wide. The simulation meets itself at the edges (periodic boundary condition); all images tile seamlessly if used as wallpaper.
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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2015 Nov 07. s.27