Scaling laws of polyelectrolyte adsorption

Macromolecules

Volumn 31, Issue 5, 1998, Pages 1665-1671

  Borukhov, Itamar ^a   Andelman, David ^a   Orland, Henri ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; COMPOSITION EFFECTS; MATHEMATICAL MODELS; MONOMERS; NUMERICAL ANALYSIS;

SCALING LAWS;

POLYELECTROLYTES;

EID: 0032022857     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma9707300     Document Type: Article

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30. If a constant surface charge density σ is assumed, the boundary condition then becomes ψ|8 = 4πσ/∈. In real systems, some of the ionized surface sites can be neutralized by the binding of amall ions from the solution. The actual surface charge is not fixed but depends on the surface potential (see also ref. 30). Neither the surface potential nor the surface charge are Axed, and the boundary conditions are mixed. The choice of simple boundary conditions is only an approximation of a real surface-solution system. The quality of the approximation depends on the details of the experimental system.
31. For a review see: Israelachvili, J. N. Intermolecular and Surface Forces, 2nd ed.; Academic Press: London, 1990.
32. 2(x/D)+ρ(x).
33. This behavior is valid for a wide range of p values. However, as p - 0, eventually the excluded volume interaction will take over and Γ will start to decrease to zero.