Non-equilibrium molecular dynamics is used to investigate the energy t
ransport in both disordered and anharmonic linear chains under thermal
stress by analysing the contribution to thermal flow of the vibration
al normal modes. A thermal balance of the normal-mode energy is built
up by considering the anharmonic interaction and the coupling with the
reservoirs. The non-equilibrium normal-mode dynamics is studied and i
t is shown that, for both harmonic and anharmonic systems, the steady-
state lattice thermal conductivity is described by a set of stationary
normal modes with broadened and overlapping Fourier spectra. The orig
in of the thermal gradient is discussed. Because of the small number o
f atoms the bulk conductivity cannot be established.