A density functional theory study of electric potential saturation: planar geometry
arXiv:cond-mat/0308015 · doi:10.1103/PhysRevE.68.061401
Abstract
We investigate the possibility of electrostatic potential saturation, which may lead to the phenomenon of effective charge saturation. The system under study is a uniformly charged infinite plane immersed in an arbitrary electrolyte made up of several micro-species. To describe the electric double layer, we use a generic density functional theory in which the local micro-ionic density profiles are arbitrary functions of the local electrostatic potential. A necessary and sufficient condition is obtained for saturation, whereby the electrostatic potential created by the plane becomes independent of its bare charge, provided the latter is large enough.
9 pages, 2 figures
References in corpus (10)
- Electrostatic correlations: from Plasma to Biology
- Steric Effects in Electrolytes: A Modified Poisson-Boltzmann Equation
- Effective interactions between electric double-layers
- Variational charge renormalization in charged systems
- A simple approach for charge renormalization of highly charged macro-ions
- Effective charge versus bare charge for colloids in the infinite dilution limit
- Long-range electrostatic interactions between like-charged colloids: steric and confinement effects
- Ion-ion correlations: an improved one-component plasma correction
- Effective interactions between like-charged macromolecules
- On the bulk modulus of the cell model of charged macromolecules suspensions
Cited by in corpus (16)
- The renormalized jellium model for spherical and cylindrical colloids
- Non-linear screening of spherical and cylindrical colloids: the case of 1:2 and 2:1 electrolytes
- Nonlinear screening of charged macromolecules
- Exact asymptotic expansions for the cylindrical Poisson-Boltzmann equation
- Anomalous Effects of "Guest" Charges Immersed in Electrolyte: Exact 2D Results
- Electric double layers with surface charge modulations: Novel exact Poisson-Boltzmann solutions
- Finite-Size Corrections for Coulomb Systems in the Debye-Huckel Regime
- Renormalization of Hard-Core Guest Charges Immersed in Two-Dimensional Electrolyte
- Guest charges in an electrolyte: renormalized charge, long- and short-distance behavior of the electric potential and density profile
- Poisson-Boltzmann thermodynamics of counter-ions confined by curved hard walls
- Charge inversion of colloids in an exactly solvable model
- Exactly solvable model of the 2D electrical double layer
- Renormalized jellium model for colloidal mixtures
- Saturation of Electrostatic Potential: Exactly Solvable 2D Coulomb Models
- Free energy of cylindrical polyions: analytical results
- Planar screening by charge polydisperse counterions