Heat Conduction and Long-Range Spatial Correlation in 1D Models

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.