# Heat Conduction in a 1D Harmonic Chain with 3D Vibrations

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.

a

T=0.2

i=101

<E(i)>

t=1,3,10,30,100

a=128

a=2