2001
DOI: 10.1103/physrevlett.86.2341
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Counterion Phase Transitions in Dilute Polyelectrolyte Solutions

Abstract: In dilute solutions of rodlike polyelectrolytes some counterions are distributed far from polyions while others are located in their vicinity in the regions of cylindrical symmetry of the electrostatic potential. For these cylindrical regions around rodlike polyelectrolytes we find an exact solution of the nonlinear Poisson-Boltzmann equation for the case of nonzero net charge in these regions. This exact solution implies three qualitatively different phases of counterion distribution around the polyions with … Show more

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Cited by 111 publications
(154 citation statements)
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“…Further improvements could probably be achieved along the lines of Ref. [56], where a combination of a cylindrical and spherical cell model is used to describe the solution properties of polyelectrolytes.…”
Section: Counterion Distribution Around Finite Polyelectrolytesmentioning
confidence: 99%
“…Further improvements could probably be achieved along the lines of Ref. [56], where a combination of a cylindrical and spherical cell model is used to describe the solution properties of polyelectrolytes.…”
Section: Counterion Distribution Around Finite Polyelectrolytesmentioning
confidence: 99%
“…Theoretically, correlations between the counter-ions distribution and the polyelectrolyte are usually described based on the classical counter-ion condensation theory of Manning and subsequent revisions of this classic model of polyelectrolytes [4][5][6][7]. According to this theory, when the electrostatic interactions become comparable to thermal energy the counter-ions from their uniform distribution in the solution start to "condense" on the chain backbone, thus largely screening the backbone charge.…”
Section: Introductionmentioning
confidence: 99%
“…25,26 The effect of the presence of counterions around highly charged polyelectrolytes was widely studied for many years, leading to several theories. [27][28][29][30][31][32][33][34] The classical mean-field approach concerns only repulsive interactions between charged monomers and consequently fails to describe systems containing multivalent counterions or salt particles where ion-ion correlations are strong. In general, the presence of multivalent cations leads to the compaction and precipitation of flexible strongly charged polyelectrolytes followed in some cases by their redissolution at high salt concentration.…”
Section: Introductionmentioning
confidence: 99%