Swollen stacks of finite-size disclike Laponite clay platelets are
investigated within a Wigner-Seitz cell model. Each cell is a cylinder
containing a coaxial platelet at its center, together with an overall
charge-neutral distribution of microscopic co and counterions, within
a primitive model description. The nonlinear Poisson-Boltzmann (PB)
equation for the electrostatic potential profile is solved numerically
within a highly efficient Green's function formulation. Previous
predictions of linearized Poisson-Boltzmann (LPB) theory are confirmed
at a qualitative level, but large quantitative differences between
PB and LPB theories are found at physically relevant values of the
charge carried by the platelets. A hybrid theory treating edge effect
at the linearized level yields good potential profiles. The force
between two coaxial platelets, calculated within PB theory, is an
order of magnitude smaller than predicted by LPB theory.
%0 Journal Article
%1 decarvalho00a
%A de Carvalho, R. J. F. Leote
%A Trizac, E.
%A Hansen, J.-P.
%D 2000
%J Physical Review E
%K imported
%N 2
%P 1634--1647
%T Nonlinear Poisson-Boltzmann theory of a Wigner-Seitz model for swollen
clays
%V 61
%X Swollen stacks of finite-size disclike Laponite clay platelets are
investigated within a Wigner-Seitz cell model. Each cell is a cylinder
containing a coaxial platelet at its center, together with an overall
charge-neutral distribution of microscopic co and counterions, within
a primitive model description. The nonlinear Poisson-Boltzmann (PB)
equation for the electrostatic potential profile is solved numerically
within a highly efficient Green's function formulation. Previous
predictions of linearized Poisson-Boltzmann (LPB) theory are confirmed
at a qualitative level, but large quantitative differences between
PB and LPB theories are found at physically relevant values of the
charge carried by the platelets. A hybrid theory treating edge effect
at the linearized level yields good potential profiles. The force
between two coaxial platelets, calculated within PB theory, is an
order of magnitude smaller than predicted by LPB theory.
@article{decarvalho00a,
abstract = {Swollen stacks of finite-size disclike Laponite clay platelets are
investigated within a Wigner-Seitz cell model. Each cell is a cylinder
containing a coaxial platelet at its center, together with an overall
charge-neutral distribution of microscopic co and counterions, within
a primitive model description. The nonlinear Poisson-Boltzmann (PB)
equation for the electrostatic potential profile is solved numerically
within a highly efficient Green's function formulation. Previous
predictions of linearized Poisson-Boltzmann (LPB) theory are confirmed
at a qualitative level, but large quantitative differences between
PB and LPB theories are found at physically relevant values of the
charge carried by the platelets. A hybrid theory treating edge effect
at the linearized level yields good potential profiles. The force
between two coaxial platelets, calculated within PB theory, is an
order of magnitude smaller than predicted by LPB theory.},
added-at = {2007-06-15T17:33:15.000+0200},
author = {{de Carvalho}, R. J. F. Leote and Trizac, E. and Hansen, J.-P.},
biburl = {https://www.bibsonomy.org/bibtex/2d7bd8b691e2f81bc17ed5d903a16bf08/kaigrass},
interhash = {c70814c5a910f70f7d4d9162088ce148},
intrahash = {d7bd8b691e2f81bc17ed5d903a16bf08},
journal = {Physical Review E},
keywords = {imported},
number = 2,
pages = {1634--1647},
timestamp = {2007-06-15T17:33:16.000+0200},
title = {Nonlinear Poisson-Boltzmann theory of a Wigner-Seitz model for swollen
clays},
volume = 61,
year = 2000
}