. 2014 Aug 5;47(16):5825–5838. doi: 10.1021/ma500772a

l_B) Flexible (b < l_B) Chains^a.

regimes	P_brush/(k_BT)	η_eff/η_s = σ_brush/σ_bare	μ_brush/μ_bare
D ≫ H₀ ≃ L	(l_BD²)⁻¹	1	1
D_* < D < L	u^–1/νNρ/D	ρ^2/3(bNu^(ν–1)/ν)^4/3	b^1/3N^1/3u^(ν–1)/3ν/(ρ^1/3D)
D_n < D < D_*	u^–1/νNρ/D	ρDbNu^(ν–1)/ν	1
D < D_qn ≃ D_n	b^–3(Nρb³/D)^{3ν/(3ν–1)}	(Nρb³/D)^{2ν/(3ν–1)} (D/b)²	(1/u)[D/(Nρb³)]^ν/(3ν–1)

Here σ_bare ≈ η_sV/D, μ_bare ≈ η_sVl_BD/k_BT are shear stress and friction coefficient between bare surfaces with the same charge density efNρ as polyelectrolyte brushes.

Table 2. Normal Pressure Pbrush/(kBT), Reduced Effective Viscosity ηeff/ηs, and Ratio of Friction Coefficients μbrush/μbare between a Pair of Apposing Polyelectrolyte Brushes with Strongly Charged (bf–ν > lB) Flexible (b < lB) Chainsa.

Table 2. Normal Pressure P_brush/(k_BT), Reduced Effective Viscosity η_eff/η_s, and Ratio of Friction Coefficients μ_brush/μ_bare between a Pair of Apposing Polyelectrolyte Brushes with Strongly Charged (bf^–ν > l_B) Flexible (b < l_B) Chains^a.