Pattern formation

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.

To mention:

  • Reaction diffusion equations
  • hallucinations
  • fractal structure
  • Turing, the Brusselator etc.
  • Can I file Lichtenberg figures here?
  • Diffusion-limited aggregation?
  • Laplacian growth?
  • …abolutely any such model involving PDEs?

The Royal Society, Induction discharge

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 June 1897.

Team Prigogene have something to say about this presumably.


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