Abstract
The effective interaction of colloids trapped at fluid interfaces exhibit
qualitatively new features when compared to the ones in colloidal bulk
solutions. First, electrostatic interactions which are exponentially screened in ionic solvents become longer-ranged and dipole-like at interfaces
between water and a nonpolar medium (usually taken to be air or oil).
We show (within Poisson-Boltzmann theory) that charge renormalization
makes the effective electrostatic repulsion weakly dependent on
the surface charge density on the water side and independent on the salt
concentration in the high charge density limit 1. This is in stark
contrast to expectations from linear Debye-Hueckel theory which has been
used frequently to interpret experimental results.
Secondly, capillary attractions mediated by deformations of the interface
vary logarithmically with the intercolloidal distance whenever external forces act on the colloids and
with a power-law for mechanically isolated systems. For charged colloids,
the capillary attractions asymptotically vary dipole-like as do the
repulsive electrostatic forces. Only for specific circumstances
(ultrapure water, similar colloid radius and water screening length)
a secondary minimum in the effective potential may arise 2.
Thirdly, capillary wave fluctuations lead to a fluctuation induced force
between the colloids (thermal Casimir effect) whose range strongly
depends on the boundary conditions determining the three-phase contact
line. For fixed colloids and pinned contact lines, we obtain
fluctuation potentials which again vary logarithmically, whereas
for freely floating colloids and unpinned contact lines the fluctuation
interaction is short-ranged and attractive similar to the van-der-Waals
interaction 3.
1) D. Frydel, S. Dietrich, and M. Oettel, submitted.\\
2) M. Oettel, A. Dominguez, and S. Dietrich, JPCM 17, L337 (2005).\\
3) H. Lehle, M. Oettel, and S. Dietrich, EPL 75, 174 (2006).
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