Forces between hydrophilic
surfaces mediated by water are important
in various systems from lipid membranes and solid surfaces to colloids
and macromolecules, first discovered as a significant addition to
DLVO forces at the nanoscale. These “hydration forces”
have been studied in great detail experimentally using osmotic stress
measurements, surface force apparatus, and AFM, and they have also
been the subject of multiple theories and simulations. One spectacular
feature observed in experimental and simulation studies was the nonmonotonic,
oscillatory decay in the forces between atomically smooth surfaces.
Forces between “rougher” surfaces exhibit only quasi-exponential,
monotonic decay. Here we revisit this hydration force problem by exploring
the consequences of an extended phenomenological Landau–Ginzburg
approach that describes nonlocal correlations in water, linking them
with the key features of the wave-number k-dependent
nonlocal dielectric function of water. With corresponding boundary
conditions, this theory predicts the observed oscillatory decay in
hydration force between ideally flat surfaces, the oscillatory mode
disappearing with just a tiny roughness of the surfaces (of mean height
ca. of the size of a water molecule). This study also brings an important
side message. Explanation of these observations appears only possible
under an assumption of two modes of polarization in water, consistent
with the behavior of the response function, i.e., Lorentzian at small k and resonance-like at higher k. This
resolves the “force oscillation–non-oscillation”
paradigm, which is a strong, although indirect indication of the existence
of these two modes. We also consider other important subjects, such
as how the distribution of ions near a charged surface reacts to the
propensity for overscreening oscillations due to polarized water.
This is important not only for the interactions between charged surfaces
but also for the fundamental understanding of the structure of the
electrical double layer at electrochemical interfaces. We show that
even in dilute electrolytes, the distribution of ions in the vicinity
of the polarized interface follows, although not literally, preferential
positions corresponding to the potential wells caused by “resonance”
water layering. For a sharp interface, the theory predicts that the
decaying spatial oscillation profiles extend over a 1 to 2 nm distance
from the interface. With the smearing of the interface and the corresponding
suppression of the resonance water layering, oscillations in the spatial
distribution of ions subside, resulting in a familiar Gouy–Chapman–Stern
picture. At longer distances from the interface, whether smeared or
not, the ion distribution profiles become Gouy–Chapman-like.
The effect of the boundary conditions on water polarization at the
interface goes beyond a trivial shift of the potential of zero charge.
We show that they can dramatically affect the ion distribution near
the charged surface. Last, but not least, we study how the interfacial
water layerin...