Amir Levy, David Andelman, Henri Orland
We study the variation of the dielectric response of a dielectric liquid
(e.g. water) when a salt is added to the solution. Employing field-theoretical
methods we expand the Gibbs free-energy to first order in a loop expansion and
calculate self-consistently the dielectric constant. We predict analytically
the dielectric decrement which depends on the ionic strength in a complex way.
Furthermore, a qualitative description of the hydration shell is found and is
characterized by a single length scale. Our prediction fits rather well a large
range of concentrations for different salts using only one fit parameter
related to the size of ions and dipoles.
View original:
http://arxiv.org/abs/1201.6081
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