Heat Conduction in a 1D Harmonic Chain with 3D Vibrations
This Demonstration shows the propagation of an energy pulse in a 1D harmonic chain with 3D vibrations, to study the influence of the lattice constant on heat conduction. Starting from a uniform initial temperature and adding a pulse of energy to the central atom at position , the snapshots of are the averages over 1000 observations taken at times . A large lattice constant () behaves approximately as a 1D harmonic chain while a small lattice constant () brings out the influence of 3D vibrations. The contrast between the two cases depends on the magnitude of the lattice constant.
For details, see Z. Liu and B. Li, "Heat Conduction in a One-Dimensional Harmonic Chain with Three-Dimensional Vibrations," Journal of the Physical Society of Japan, 77(7), 2008, 074003.
"Heat Conduction in a 1D Harmonic Chain with 3D Vibrations"
Wolfram Demonstrations Project
Published: August 15 2008