Statistical-mechanical treatment of polymer chains — ideal-chain Gaussian statistics ⟨R²⟩ = N b², excluded-volume Flory exponent ν=3/5 in 3D, θ-solvent / good-solvent / poor-solvent regimes. Underpins biopolymer mechanics (DNA, proteins,…
Polymer statistical mechanics
Related concepts
- Partition function
- Maxwell-Boltzmann distribution
- Worm-like chain model
- Itô integral
- Isoprene C5-unit count: mono=2, sesqui=3, di=4, tri=6 (exact integers from Wallach rule)
- Polyketide chain length: 2·n + 2 carbons; n=1 → C4 (acetoacetate); n=3 → C8 (tetraketide)
- Shikimate aromatic-ring count: Phe=1, Tyr=1, Trp=2 (indole bicyclic, by Clar-sextet / NMR-current aromaticity)
- Polymer MW (SEC/GPC, MALLS, viscometry)
- WLC framework: Marko-Siggia F = (k_B·T/L_p)·[1/(4(1-x/L)²) - 1/4 + x/L]
- Size-exclusion chromatography + PDB
- Scaffold biomaterials (Langer-Vacanti)