Block-Spin Renormalization Group

Ising model under real-space RG: spins are coarse-grained into blocks by majority rule, revealing how the coupling constant flows toward fixed points.

Level 0 — microscopic
Level 1 — block 3×3
Level 2 — block 9×9

Parameters

Tc ≈ 2.269 (Onsager)
Below Tc: ordered fixed point
Above Tc: disordered fixed point
At Tc: critical — scale-free