Dimension dependent energy thresholds for discrete breathers

Details Dimension dependent energy thresholds for discrete breathers Dimension dependent energy thresholds for discrete breathers

2004-01-26

arxiv.org/abs/nlin/0401038v2

Nonlinearity 17 (2004) 1923-1939

Nonlinear Sciences

Pattern Formation and Solitons

20 pages, 5 figures

Scientific paper

10.1088/0951-7715/17/5/018

Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. We study the existence of energy thresholds for discrete breathers, i.e., the question whether, in a certain system, discrete breathers of arbitrarily low energy exist, or a threshold has to be overcome in order to excite a discrete breather. Breather energies are found to have a positive lower bound if the lattice dimension d is greater than or equal to a certain critical value d_c, whereas no energy threshold is observed for d

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