Colliding vortices in the Rock-Paper-Scissors reaction-diffusion equation
This simulation shows another solution of the Rock-Paper-Scissors reaction-diffusion equation, similar to the one shown in videos such as , but with two different color schemes which make the spirals more visible. In addition, the “viscosity“ parameter, which is the constant multiplying the Laplace operator, increases over time. This has the effect of increasing the typical width of spirals, inducing a kind of competition in which some spirals absorb other ones, and an interesting particle-like interaction between the centers of spirals.
The two color schemes are as follows:
Concentrations: 0:00
Vorticity: 1:01
In the first part, the color is obtained by applying the Plasma color scheme to the concentrations u, v and w of the chemicals, after converting those into an angle (see below). Roughly speaking, the orange, purple and blue regions are those where one of the chemicals dominates the other ones. The second part shows the “vorticity“ of that angle, obtained by computing the
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Colliding vortices in the Rock-Paper-Scissors reaction-diffusion equation
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