  Heat conduction in one-dimensional (1D) systems is studied based on an
analytical S-matrix method, which is developed in the mesoscopic electronic
transport theory and molecular dynamic (MD) simulations. It is found that heat
conduction in these systems is related to spatial correlation of particle
motions. Randomizations of scatterers is found to break the correlation, hence
results in normal thermal conduction. Our MD simulations are in agreement with
the theoretical expectations. The results are useful for an understanding of
the relation between heat conduction and dynamic instablities or other random
behavior in 1D systems.
