Lower Bounds on Solutions of the Poisson-Boltzmann Equation near the Limit of Infinite Dilution
- 15 November 1972
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 57 (10) , 4071-4075
- https://doi.org/10.1063/1.1678026
Abstract
Rigorous existence, uniqueness and lower bound results for solutions of the nonlinear Poisson‐Boltzmann equation are obtained. The relationship of these bounds with certain assumptions in Manning's limiting law theory for polyelectrolytes is discussed.Keywords
This publication has 5 references indexed in Scilit:
- Analytic Description of the Condensation Phenomenon Near the Limit of Infinite Dilution Based on the Poisson—Boltzmann EquationThe Journal of Chemical Physics, 1972
- Upper Bounds on Solutions of the Poisson—Boltzmann Equation near the Limit of Infinite DilutionThe Journal of Chemical Physics, 1972
- Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions. III. An Analysis Based on the Mayer Ionic Solution TheoryThe Journal of Chemical Physics, 1969
- Limiting Laws and Counterion Condensation in Polyelectrolyte Solutions I. Colligative PropertiesThe Journal of Chemical Physics, 1969
- On an Asymptotic Solution of the Poisson—Boltzmann Equation—The Moderately Charged CylinderThe Journal of Chemical Physics, 1966