γ Calculator
Input Ncorr (number of correlated particles) and see the resulting γ = 2/√Ncorr and what physical regime it falls in.
Ncorr = 4
γ = 1.0000
Boundary (γ ≈ 1)
Transition zone. Phase transitions, chemistry, consciousness threshold sit near this boundary.
Presets
⚠ Preset caveat: Ncorr values in the presets are approximate estimates, not measured physical pair counts. The BCS superconductor preset uses Ncorr = 10,000; physical Cooper-pair coherence volumes in real materials contain ~106–109 pairs (Al vs. Nb vs. Pb differ significantly). The Phase Boundary Visualizer uses different Ncorr estimates for some systems. A scale-invariant counting recipe for operational Ncorr is an open research question — see ncorr-operational-definition-recipe in the explorer topic queue.
Quick Reference
| Ncorr | γ | Regime | Example |
|---|---|---|---|
| 1 | 2.000 | Weakly Correlated | Ideal gas |
| 4 | 1.000 | Boundary (γ ≈ 1) | Liquid water |
| 30 | 0.365 | Strongly Correlated | Enzyme site |
| 100 | 0.200 | Collective Regime | Ferromagnet |
| 10,000 | 0.020 | Collective Regime | BCS superconductor |
| 1,000,000 | 2.00e-3 | Collective Regime | BEC |