Distribution of counterions near discretely charged planes and rods

Abstract

Realistic charged macromolecules are characterized by discrete (rather than homogeneous) charge distributions. We investigate the effects of surface charge discretization on the counterion distribution at the level of mean-field theory using a two-state model. Both planar and cylindrical geometries are considered; for the latter case, we compare our results to numerical solutions of the full Poisson-Boltzmann equation. We find that the discretization of the surface charge can cause enhanced localization of the counterions near the surface; for charged cylinders, counterion condensation can exceed Oosawa-Manning condensation.

arXiv comment7 pages, 1 figure; added references, minor revisions

References in corpus (7)

• Screening of a macroion by multivalent ions: Correlation induced inversion of charge
• Counterions at charge-modulated substrates
• Charge Fluctuations and Counterion Condensation
• Effect of colloidal charge discretization in the primitive model
• Discrete charge patterns, Coulomb correlations and interactions in protein solutions
• Universal reduction of pressure between charged surfaces by long-wavelength surface charge modulation
• Spherical Colloids: Effect of Discrete Macroion Charge Distribution and Counterion Valence

Cited by in corpus (23)

• Charge inversion at minute electrolyte concentrations
• Charge Regulation with Fixed and Mobile Charges
• Bjerrum pairing correlations at charged interfaces
• Onsager-Manning-Oosawa condensation phenomenon and the effect of salt
• Scaling and Universality in the Counterion-Condensation Transition at Charged Cylinders
• Counterions at Charged Cylinders: Criticality and universality beyond mean-field
• The many origins of charge inversion in electrolyte solutions: effects of discrete interfacial charges
• Structural Transition of Actin Filament in a Cell-Sized Water Droplet with a Phospholipid Membrane
• Structure and stability of self-assembled actin-lysozyme complexes in salty water
• Charge Regulation of Colloidal Particles: Theory and Simulations
• Counterion-Mediated Weak and Strong Coupling Electrostatic Interaction between Like-Charged Cylindrical Dielectrics
• Asymmetric Coulomb fluids at randomly charged dielectric interfaces: Anti-fragility, overcharging and charge inversion
• Electrostatics of Patchy Surfaces
• Wigner-Crystal Formulation of Strong-Coupling Theory for Counter-ions Near Planar Charged Interfaces
• Charge Regulating Macro-ions in Salt Solutions: Screening Properties and Electrostatic Interactions
• Anomalous Multipole Expansion: Charge Regulation of Patchy, Inhomogeneously Charged Spherical Particles
• Counter-ion density profile around charged cylinders: the strong-coupling needle limit
• Electric double layers with surface charge modulations: Novel exact Poisson-Boltzmann solutions
• Distribution of counterions and interaction between two similarly charged dielectric slabs: Roles of charge discreteness and dielectric inhomogeneity
• Ion condensation on charged patterned surfaces
• Electric double layers with modulated surface charge density: Exact 2D results
• Counterions between walls with surface charge modulations: Exact Poisson-Boltzmann solutions
• Contact value theorem for electric double layers with modulated surface charge density