Abstract
Several unexpected features of energy transport in one-dimensional regular and disturbed systems are presented. In the classical case the propagation strongly depends on the type of initial excitation in both the disturbed and disordered chain. The phenomena of localization and superdiffusion are exemplified. For temperature excitation a local concept of transport description is presented and applied both numerically and analytically. Finally, it is shown that a one-dimensional sequence of softened springs in a two- or three-dimensional lattice generates a dynamical instability of the low-frequency mode density, which has consequences for the thermodynamic and transport behaviour.