  We introduce static and dynamic correlation functions for the spatial
densities of Lyapunov vector fluctuations. They enable us to show, for the
first time, the existence of hydrodynamic Lyapunov modes in chaotic
many-particle systems with soft core interactions, which indicates universality
of this phenomenon. Our investigations for Lennard-Jones fluids yield, in
addition to the Lyapunov exponent - wave vector dispersion, the collective
dynamic excitations of a given Lyapunov vector. In the limit of purely
translational modes the static and dynamic structure factor are recovered.
