Delocalization-localization transition due to anharmonicity.
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 A_c is given. Approaching A_c from above and below, diverging time scales occur. Above A_c, the energy packet converges towards a discrete breather. Nevertheless, ballistic energy transportation is present, demonstrating that its existence does not necessarily imply delocalization.
Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, Mainz, Germany.
David
D
Hajnal
Rolf
R
Schilling