Discrete Breathers and Energy Localization in Nonlinear Lattices

Details Discrete Breathers and Energy Localization in Nonlinear Lattices Discrete Breathers and Energy Localization in Nonlinear Lattices

1993-06-25

arxiv.org/abs/patt-sol/9306001v1

Nonlinear Sciences

Pattern Formation and Solitons

15 pages in REVTEX, figures available from the authors.(email: tdauxois@physique.ens-lyon.fr)

Scientific paper

We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process by the formation of small amplitude breathers, is completed efficiently, in the presence of discreteness, by energy exchange mechanisms between the nonlinear excitations which favor systematically the growth of the larger excitations. The process is however self regulated because the large amplitude excitations are finally trapped by the Peierls-Nabarro potential.

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