Regime
Set by the Rayleigh number — buoyancy against diffusion
Every figure drawn under this hypothesis — 28 of them — with the essay each one belongs to and the generator that drew it.
28 figure placements state this regime. The strip along the foot of every figure names two things — the model that produced it and the regime it holds in — and this listing is read back out of the finished drawing rather than from what produced it.
- A transition that needs a second number — the narrow-gap limit — the eigenvalue is a Taylor number and a Rayleigh number at once · regime-collapse · hero
- A transition that needs a second number — the narrow-gap limit — the eigenvalue is a Taylor number and a Rayleigh number at once · regime-collapse
- Hexagons remember how the heat was turned up — heated from below, just above onset — branches and stability in closed form · convection-onset
- Hexagons remember how the heat was turned up — heated from below, just above onset — all proportional to g² · convection-onset
- Hexagons remember how the heat was turned up — heated from below, just above onset — excess heat flux ∝ Σ amplitude² · convection-onset
- The state a machine was started into — the narrow-gap limit — the eigenvalue is a Taylor number and a Rayleigh number at once · regime-collapse
- The threshold the walls decide — Boussinesq, exchange of stabilities, conducting surfaces — the Rayleigh number is the only parameter · convection-onset · hero
- The threshold the walls decide — Boussinesq, exchange of stabilities, conducting surfaces — the Rayleigh number is the only parameter · convection-onset
- The threshold the walls decide — Boussinesq linear stability at the critical Rayleigh number; the amplitude is arbitrary and is normalised here · convection-onset
- The threshold the walls decide — the free–free Rayleigh number at its own critical wavenumber; second-order differences throughout · convection-onset
- The threshold the walls decide — Boussinesq linear stability at the critical Rayleigh number; the cells are the marginal mode and not a flow field · convection-onset
- The threshold the walls decide — Boussinesq, exchange of stabilities, conducting surfaces — the Rayleigh number is the only parameter · convection-onset
- The threshold the walls decide — Boussinesq linear stability at the critical Rayleigh number; the amplitude is arbitrary and is normalised here · convection-onset
- Hexagons remember how the heat was turned up — heated from below, ε ramped at 5×10⁻⁷ per unit time with seeded noise · convection-onset
- Hexagons remember how the heat was turned up — heated from below, ε = 0.0250 above onset, inside the bistable window · convection-onset · hero
- Hexagons remember how the heat was turned up — heated from below, ε = 0.0250 above onset, inside the bistable window · convection-onset
- Hexagons remember how the heat was turned up — heated from below, ε = 0.025 above onset — Runge–Kutta from two starts · convection-onset
- Hexagons remember how the heat was turned up — heated from below, ε = 0.025, a symmetric layer — Runge–Kutta · convection-onset
- The truncation that cannot carry three times the heat — heated from below, Rayleigh number 1.001 to 2 times critical — 20 temperature modes · lorenz-truncation
- The truncation that cannot carry three times the heat — heated from below, Rayleigh number 2 and 20 times critical — 42 temperature modes · lorenz-truncation
- The truncation that cannot carry three times the heat — heated from below, Rayleigh number 2 to 30 times critical — six truncation orders · lorenz-truncation
- The truncation that cannot carry three times the heat — heated from below, Rayleigh number 20 times critical — 42 modes, mean profile m = 0 · lorenz-truncation
- The truncation that cannot carry three times the heat — heated from below, Rayleigh number up to 30 times critical — neighbouring points · lorenz-truncation
- A threshold with a closed form — Ra_c = 657.51 at a = 2.2214 — the onset of convection · rayleigh-onset · hero
- A threshold with a closed form — Ra_c = 657.51 at a = 2.2214 — the onset of convection · rayleigh-onset
- A threshold with a closed form — Ra = Ra_c = 657.51 — free-free boundaries, marginal · rayleigh-onset
- A threshold with a closed form — Ra_c = 657.51 at a = 2.2214 — the onset of convection · rayleigh-onset
- A threshold with a closed form — Ra = Ra_c = 657.51 — free-free boundaries, marginal · rayleigh-onset