Polymer Models Under Force
Compare ideal, semiflexible, and self-avoiding chains and see how stiffness, excluded volume, and pulling force change polymer shape
model freely jointed chain
· N 100
· chains 100
· force 0.00
chain start
chain end
bonds
End-to-end distance distribution
R is the distance from the first monomer to the last. For 2D ideal chains, the radial distribution approaches a Rayleigh form.
⟨R⟩ —
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⟨R²⟩ —
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reference —
Scaling of ⟨R²⟩ with N
On a log-log plot, the slope is 2ν. Ideal chains have ν = 1/2, self-avoiding walks in 2D have ν ≈ 3/4, and strongly stretched chains approach ν ≈ 1.
measured ν —
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reference —