Polymer Chain End-to-End Distance

A freely jointed chain of N monomers performs a random walk. The end-to-end distance scales as R ~ N^ν, with ν=1/2 (ideal) or ν≈0.588 (self-avoiding in 3D).

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⟨R²⟩ = N·b² (ideal FJC)  |  ν = 0.588 (SAW, Flory)  |  Persistence length lp = b/(1-cos θ)