Larger spirals in the Rock Paper Scissors reaction diffusion equation
Like the video this simulation shows a solution of a reactiondiffusion equation behaving in a similar way as the BelousovZhabotinsky chemical reactions, but which is easier to simulate. The diffusion coefficient D has been chosen larger than in the previous simulation (10 instead of 0. 5), creating broader spirals. At each point in space and time, there are three concentrations u, v, and w of chemicals, which are represented by the red, blue and green components of an RGB color scheme. Denoting by rho u + v + w the total concentration, the system of equations is given by dt u DDelta(u) + u(1 rho av) dt v DDelta(v) + v(1 rho aw) dt w DDelta(w) + w(1 rho au) where Delta denotes the Laplace operator, which performs a local average, and the parameter a is equal here to 0. 75. The terms proportional to av, aw and au denote reaction terms, in which Red is beaten by Blue, Blue is beaten be Green, and Green is beaten by Red. The situation is thus simil
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