Polymer Brush — Alexander-de Gennes Scaling

Blob model: steric repulsion force vs surface separation

Brush height L₀ = — nm
60
0.20
1.00
0.80
Alexander-de Gennes blob model: grafted chains stretch into blobs of size ξ = D (grafting spacing). Brush height L₀ = N·b·(σb²)^(1/3). Compression free energy scales as F ~ (L₀/D)^(5/4) + (D/L₀)^(7/4) per unit area — purely entropic repulsion from blob confinement.