Simulation of diffusion and reaction between two chemicals U and V, where the chemical U diffuses faster than V.
Reaction:
U + 2 V -> 3 V
Dynamics:
This reaction-diffusion system is known as the Gray-Scott model.
The colors show the concentration of U (black u=0, green u=max). The parameter f regulates how fast fuel (U) is added to the system, while k regulates the rate with which the product (V) is removed from the system. This system can form many types of patterns. For example:
- Selfreplicating spots, f = 0.02, k = 0.079, Movie 1 Movie 2.
- Waves, f = 0.02, k = 0.0735, Movie 1 Movie 2.
- Pulsating, f = 0.0195, k = 0.066, Movie 1 Movie 2.
- Labyrinth, f = 0.024, k = 0.078, Movie 1 Movie 2.
Above is a map of representative configurations for different combinations of the parameters f and k. Parameter f varies along the x-axis and is in [0.01, 0.028]. k varies along the y-axis and is in [0.05, 0.095].
References
- Gray P., Scott S.K. (1985), Sustained oscillations and other exotic patterns in isothermal reactions, Journal of Physical Chemistry, 89:25
- Pearson, J.E. (1993), Complex patterns in a simple system, Science 261:189
