  We investigate a one-dimenisonal Hamiltonian system that describes a system
of particles interacting through short-range repulsive potentials. Depending on
the particle mean energy, $\epsilon$, the system demonstrates a spectrum of
kinetic regimes, characterized by their transport properties ranging from
ballistic motion to localized oscillations through anomalous diffusion regimes.
We etsablish relationships between the observed kinetic regimes and the
"thermodynamic" states of the system. The nature of heat conduction in the
proposed model is discussed.
