Heat Conduction in a 1D Harmonic Chain with 3D Vibrations
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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.
Contributed by: Zonghua Liu (August 2008)
Open content licensed under CC BY-NC-SA
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