Diffusion limited aggregation in cheap industrial hand soap
Reaction diffusion equations, and diffusion limited aggregation and other
models for pretty blobs and swirls arising from a small number of parameters.
How the leopard got its spots and other special cases in morphogenesis.
- Reaction diffusion equations
- fractal structure
- Turing, the Brusselator etc.
- Can I file Lichtenberg figures here?
- Diffusion-limited aggregation?
- Laplacian growth?
- …abolutely any such model involving PDEs?
Patterns produced by electrical discharges on surfaces revealed by dusting with
powdered red lead and sulphur. Sometimes termed ‘Lichtenberg figures’. These
experiments were conducted at Cragside in Northumberland, England, using a
Wimshurst machine (electrostatic generator) and two 10-gallon Leiden jars.
Current was conveyed to two rod conductors with a spark gap at which coated
wires discs or plates were positioned. Lord Armstrong exhibited figures of the
type produced at the Royal Society soiree at Burlington House in London on 16
Team Prigogene have something to say about this presumably.
Erban, Radek, Jonathan Chapman, and Philip Maini. 2007. “A Practical Guide to Stochastic Simulations of Reaction-Diffusion Processes.” arXiv:0704.1908 [Physics, q-Bio]
Kim, T., J. Sewall, A. Sud, and M.C. Lin. 2007. “Fast Simulation of Laplacian Growth.” IEEE Computer Graphics and Applications
27 (2): 68–76.
Lomas, Andy. 2014. “Cellular Forms: An Artistic Exploration of Morphogenesis.”
In SIGGRAPH Studio
, 1–1. ACM Press.
Matsushita, M, and H Fujikawa. 1990. “Diffusion-Limited Growth in Bacterial Colony Formation.” Physica A: Statistical Mechanics and Its Applications 168 (1): 498–506.
Meakin, Paul. 1986. “A New Model for Biological Pattern Formation.” Journal of Theoretical Biology
118 (1): 101–13.
Turing, Alan Mathison. 1952. “The Chemical Basis of Morphogenesis.” Philosophical Transactions of the Royal Society B: Biological Sciences
237 (641): 37–72.
Vicsek, Tamas. 1992. Fractal Growth Phenomena. 2 Sub. World Scientific Pub Co Inc.
Vicsek, Tamás. 1983. “Fractal Models for Diffusion Controlled Aggregation.” Journal of Physics A: Mathematical and General
Vicsek, Tamás, and Alexander S Szalay. 1987. “Fractal Distribution of Galaxies Modeled by a Cellular-Automaton-Type Stochastic Process.” Physical Review Letters
58 (26): 2818–21.
Wolfram, Stephen. 1983. “Statistical Mechanics of Cellular Automata.” Reviews of Modern Physics
55 (3): 601–44.