Flory-Huggins Polymer Solution Theory L1-335

Materials SciencePolymer solution thermodynamicsδ=3 · standardL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

D G_{m} i x = R T \cdot (p h i_{A} / N_{A} \cdot l n (p h i_{A}) + p h i_{B} / N_{B} \cdot l n (p h i_{B}) + c hi \cdot p h i_{A} \cdot p h i_{B})

Flory-Huggins free energy of mixing: DG_mix/RT = phi_A/N_A * ln(phi_A) + phi_B/N_B * ln(phi_B) + chi_AB * phi_A * phi_B; predicts miscibility gap.

L-DAG

E.mixing_entropy -> E.interaction_chi -> E.eigensolve -> O.phase_diagram

E.mixing_entropyE.interaction_chiE.eigensolveO.phase_diagram

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 80

Well-posed; chi(T) inversion from cloud-point curves is mildly ill-conditioned (entropy/enthalpy trade-off).

Solvability C

Solver class:: Common-tangent construction for binodal; nonlinear fit for chi(T)
Convergence rate q:: 2
Complexity:: principle-dependent

Specs (0)

No L2 specs registered yet for this principle.