Chapter 9 Patterns far from threshold

Pattern Formation and Dynamics in Nonequilibrium Systems

Figures in PNG and EPS formats:

• Fig-9.1-qB-nonlinear-phase-solution-for-Swift-Hohenberg   png   eps

• Fig-9.2-experimental-test-phase-diffusion-1   png   eps

• Fig-9.3-exptl-test-phase-diffusion-2   png   eps

• Fig-9.4-focus-selection   png   eps

• Fig-9.5-mean-flow-in-different-geometries   png   eps

• Fig-9.6-exptl-wavenumber-selection   png   eps

• Fig-9.7-wavenumber-selection-by-ramp   png   eps

• Fig-9.8-convection-spiral   png   eps

• Fig-9.9-Swift-Hohenberg-final-states   png   eps

• Fig-9.10-localized-pulse-solution   png   eps

• Fig-9.11-oscillons-in-granular-crispation-expt   png   eps

  There are several movies of oscillons on YouTube:

  • A single oscillon.
  • multiple oscillons.

• Fig-9.12-oscillon-structures   png   eps

• Fig-9.13-pattern-formation-by-Ising-Bloch-transition   png   eps

• Fig-9.14-spiral-defect-chaos   png   eps

  See the movie of spiral defect chaos associated with the back cover picture.

• Fig-9.15-domain-chaos   png   eps

  The intricate dynamics of domain chaos can be observed from this simulation (13 MB AVI file) by Professor Janet Scheel. This calculation had the following parameters: aspect ratio Γ=40, Prandtl number σ=0.93, rotational Reynolds number (dimensionless rotation rate) Ω=40, Rayleigh number R=2400, conducting lateral boundaries, a time step Δt=0.005 t_v, spatial resolution Δx=0.11 measured in units of the depth of the fluid. Successive frames are separated by one vertical diffusion time t_v.