Pattern Formation in the Swift-Hohenberg Equation

Michael Cross, Professor of Theoretical Physics

These demonstrations were part of the course on Pattern Formation in Nonequilibrium Systems (Ph161b) that I taught in 2000.

Variety of Patterns

  1. Swift-Hohenberg - stripes
  2. Swift-Hohenberg - hexagons
  3. Swift-Hohenberg - stripes (larger system size and larger random initial value)
  4. Swift-Hohenberg - hexagons
  5. A Quasicrystal Pattern
  6. Superlattices

Eckhaus and zigzag instabilities

  1. Eckhaus
  2. Eckhaus - dependence on wave vector
  3. Zigzag
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Last modified Tuesday June 10, 2008