Polymer Random Walk

Self-avoiding walk polymer conformation — end-to-end distance and gyration radius

Parameters

Chain length:
<R²>^½ (end-to-end):
<Rg²>^½ (gyration):
Flory exponent ν:
Expected ν (SAW): 0.588
Free walk: ν = 0.5 (R ∝ N^½)
SAW (Flory): ν ≈ 0.588 in 3D
ν = 3/(d+2) Flory theory (2D: ν=¾)

Green chain = displayed walk.
Red dot = end monomer.
Circle = gyration radius.