Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach
arXiv:cond-mat/0702056 · doi:10.1063/1.2844598
Abstract
The renormalized charge of a simple two-dimensional model of colloidal suspension was determined by solving the hypernetted chain approximation and Ornstein-Zernike equations. At the infinite dilution limit, the asymptotic behavior of the correlations functions is used to define the effective interactions between the components of the system and these effective interactions were compared to those derived from the Poisson-Boltzmann theory. The results we obtained show that, in contrast to the mean-field theory, the renormalized charge does not saturate, but exhibits a maximum value and then decays monotonically as the bare charge increases. The results also suggest that beyond the counterion layer near to the macroion surface, the ionic cloud is not a diffuse layer which can be handled by means of the linearized theory, as the two-state model claims, but a more complex structure is settled by the correlations between microions.
References in corpus (11)
- The fraction of condensed counterions around a charged rod: Comparison of Poisson-Boltzmann theory and computer simulations
- Effective charge saturation in colloidal suspensions
- A simple approach for charge renormalization of highly charged macro-ions
- Effective charge versus bare charge for colloids in the infinite dilution limit
- Onsager-Manning-Oosawa condensation phenomenon and the effect of salt
- Anomalous Effects of "Guest" Charges Immersed in Electrolyte: Exact 2D Results
- Effective interactions in the colloidal suspensions from HNC theory
- Renormalization of Hard-Core Guest Charges Immersed in Two-Dimensional Electrolyte
- Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results
- Guest charges in an electrolyte: renormalized charge, long- and short-distance behavior of the electric potential and density profile
- Charge inversion of colloids in an exactly solvable model