Traveling waves in a onedimensional chain with nonharmonic reciprocity
Abstract
Traveling waves in a onedimensional LennardJones chain were studied by resolving a variance problem numerically. By integrating the motion equation numerically, the apporach was improved using the Poincare surface of section. Deviations were interpreted with the Floquet theory. Calculations were carried out for 3 and 12 particles. Up to a certain energy the waves are linearly stable; above this level they are linearly unstable (for three particles).
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 June 1984
 Bibcode:
 1984STIN...8631782W
 Keywords:

 Equations Of Motion;
 LennardJones Gas;
 Molecular Chains;
 Traveling Waves;
 Floquet Theorem;
 Optimization;
 Periodic Functions;
 Poincare Problem;
 Solitary Waves;
 Communications and Radar