Density inhomogeneities of highly charged polyelectrolyte solutions confined between uncharged and nonadsorbing walls

Langmuir

Volumn 14, Issue 13, 1998, Pages 3475-3478

  Carignano, M A ^a,b   Dan, N ^a  

^a University of Delaware   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; COMPUTER SIMULATION; DENSITY (SPECIFIC GRAVITY); ELECTROSTATICS; ENTROPY; MOLECULAR WEIGHT; MONTE CARLO METHODS; OSCILLATIONS; SOLUBILITY; SOLUTIONS;

NONADSORBING WALLS;

POLYELECTROLYTES;

EID: 0032099815     PISSN: 07437463     EISSN: None     Source Type: Journal    
DOI: 10.1021/la9712045     Document Type: Article

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21. 10 show that counterion fluctuations may even lead to attractive interactions between rigid polyions.
22. 5 is given by the integral over the density of charged units. The energy density is equal to the square of the electric field, the overall system energy is given by the integral of this energy density. For illustration purposes, we take an arbitrary segment profile of the form ρ(x) = a + b cos[αx] (note that a cannot be zero, since the integral over the segment density must be equal to the total number of segments in the system). If the electrostatic energy favored uniform distribution, we expect that the energy would be minimal when the oscillation amplitude b is zero. However, we see that the energy is minimized at a finite oscillation emplitude (or, conversely, at a finite wavelength).