Polymer Coil-to-Globule Transition
Flory theory: radius of gyration vs solvent quality χ; theta point at χ = 0.5
Flory theory balances entropic elasticity and excluded-volume interactions.
Excluded volume parameter: v = 1 − 2χ (good solvent χ<0.5, theta χ=0.5, poor χ>0.5).
Flory radius: R_F ~ N^ν b where ν=3/5 (good), 1/2 (theta), 1/3 (globule).
The simulation shows a self-avoiding walk (good) or collapsed chain (poor) using a Monte Carlo pivot algorithm.