Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2006-06-02
J. Stat. Mech. P06018 (2006)
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1088/1742-5468/2006/06/P06018
The mathematical theory of integrable Painleve/Toda type systems sheds new light on the behavior of solutions to the Poisson-Boltzmann equation for the potential due to a long rod-like macroion. We investigate here the case of symmetric electrolytes together with that of 1:2 and 2:1 salts. Short and large scale features are analyzed, with a particular emphasis on the low salinity regime. Analytical expansions are derived for several quantities relevant for polyelectrolytes theory, such as the Manning radius. In addition, accurate and practical expressions are worked out for the electrostatic potential, which improve upon previous work and cover the full range of radial distances.
Tellez Gabriel
Trizac Emmanuel
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