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The δ‐function counterion condensate around a line charge derived from the Fuoss, Katchalsky, and Lifson polyelectrolyte theory
Author(s) -
Lampert Murray A.
Publication year - 1982
Publication title -
biopolymers
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.556
H-Index - 125
eISSN - 1097-0282
pISSN - 0006-3525
DOI - 10.1002/bip.360210113
Subject(s) - counterion , electrolyte , poisson–boltzmann equation , nonlinear system , charge (physics) , chemistry , poisson distribution , function (biology) , polyelectrolyte , line (geometry) , physics , ion , mathematics , quantum mechanics , statistics , geometry , organic chemistry , electrode , evolutionary biology , biology , polymer
It has recently been proven that the counterion condensate around an isolated line charge in an electrolyte, as characterized by nonlinear Poisson‐Boltzmann theory, is an encapsulating δ‐function. Here the identical result is shown to hold in the framework of the polyelectrolyte theory of Fuoss, Katchalsky, and Lifson. The proof fully exploits analytic solutions to the differential equation which are not available for the nonlinear, cylindrical Poisson‐Boltzmann equation.