  On a basis of a two-length scale description of hydrophobic interactions we
develop a continuous self-consistent theory of solute-water interactions which
allows to determine a hydrophobic layer of a solute molecules of any geometry
with explicit account of solvent structure described by its correlation
function. We compute the mean solvent density profile n(r) surrounding the
spherical solute molecule as well as its solvation free energy. We compare the
two-length scale theory to the numerical data of Monte-Carlo simulations found
in the literature and discuss the possibility of a self-consistent adjustment
of the free parameters of the theory. In the frameworks of the discussed
approach we compute also the solvation free energies of alkane molecules and
the free energy of interaction of two spheres separated by some distance. We
describe the general setting of a self-consistent account of electrostatic
interactions in the frameworks of the model where the water is considered not
as a continuous media, but as a gas of dipoles. We analyze the limiting cases
where the proposed theory coincides with the electrostatics of a continuous
media.
