DLVO Colloidal Force Theory L1-478

Polymer PhysicsColloidal stabilityδ=3 · standardL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

V_{D} L V O (h) = V_{v} d W (h) + V_{E} D L (h); V_{v} d W = - A_{H} amak er / (12 \cdot p i \cdot h^{2}); V_{E} D L = 64 \cdot p i \cdot e p s_{r} \cdot e p s_{0} \cdot R \cdot k a pp a^{- 1} \cdot t an h^{2} (z \cdot e \cdot p s i_{0} / (4 \cdot k_{B} \cdot T)) \cdot e x p (- k a pp a \cdot h)

Derjaguin-Landau-Verwey-Overbeek: total colloidal interaction energy = van der Waals attraction + electrostatic double-layer repulsion, with optional short-range Born repulsion.

L-DAG

E.vdW -> E.double_layer -> L.linear_op -> O.force_distance

E.vdWE.double_layerL.linear_opO.force_distance

Well-posedness W

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

Well-posed when both V_vdW and V_EDL contribute; ill-conditioned when one dominates (high ionic strength → secondary minimum masking).

Solvability C

Solver class:: Nonlinear least squares (Levenberg-Marquardt); Bayesian MCMC for joint (A, psi, I) inversion
Convergence rate q:: 2
Complexity:: O(N_points) per evaluation; O(N_iter * N_points) for fit

Specs (0)

No L2 specs registered yet for this principle.