Книга: Reaction?Diffusion System: Chemical Reaction, Diffusion, Chemistry, Parabolic Partial Differential Equation, Diagonal Matrix, Fick's Law of Diffusion, Wave, Self-Organization, Pattern Formation

High Quality Content by WIKIPEDIA articles! Reaction?diffusion systems are mathematical models that describe how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are converted into each other, and diffusion which causes the substances to spread out in space. As this description implies, reaction?diffusion systems are naturally applied in chemistry. However, the equation can also describe dynamical processes of non-chemical nature. Examples are found in biology, geology and physics and ecology. The solutions of reaction?diffusion equations display a wide range of behaviours, including the formation of travelling waves and wave-like phenomena as well as other self-organized patterns like stripes, hexagons or more intricate structure like dissipative solitons.