  Three one-body profiles that correspond to local fluctuations in energy, in
entropy, and in particle number are used to describe the equilibrium properties
of inhomogeneous classical many-body systems. Local fluctuations are obtained
from thermodynamic differentiation of the density profile or equivalently from
average microscopic covariances. The fluctuation profiles follow from
functional generators and they satisfy Ornstein-Zernike relations. Computer
simulations reveal markedly different fluctuations in confined fluids with
Lennard-Jones, hard sphere, and Gaussian core interactions.
