Polymer Self-Avoiding Walk & Flory Exponent

Self-avoiding walk (SAW) on 2D square lattice: each step avoids previously visited sites. End-to-end distance R_ee = √⟨r²⟩ ~ N^ν with Flory exponent ν = 3/(d+2) = 3/4 in d=2. Ideal random walk (no exclusion): ν = 1/2. Log-log plot reveals the scaling exponent.