Delocalization-Localization Transition due to Anharmonicity

Details Delocalization-Localization Transition due to Anharmonicity Delocalization-Localization Transition due to Anharmonicity

2008-08-28

arxiv.org/abs/0808.3874v1

Phys. Rev. Lett. 101, 124101 (2008)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures, Phys. Rev. Lett. (in print)

Scientific paper

10.1103/PhysRevLett.101.124101

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.

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