Delocalization-Localization Transition due to Anharmonicity
Other Condensed Matter
2010-09-15 v1
Abstract
Analytical and numerical calculations for a reduced Fermi-Pasta-Ulam chain demonstrate that energy localization does not require more than one conserved quantity. Clear evidence for the existence of a sharp delocalization-localization transition at a critical amplitude is given. Approaching the critical amplitude from above and below, diverging time scales occur. Above the critical amplitude, the energy packet converges towards a discrete breather. Nevertheless, ballistic energy transportation is present, demonstrating that its existence does not necessarily imply delocalization.
Keywords
Cite
@article{arxiv.0808.3874,
title = {Delocalization-Localization Transition due to Anharmonicity},
author = {D. Hajnal and R. Schilling},
journal= {arXiv preprint arXiv:0808.3874},
year = {2010}
}
Comments
4 pages, 3 figures, Phys. Rev. Lett. (in print)