1993/06/25 by Thierry Dauxois, Dauxois, T., Michel Peyrard +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Laser-Matter Interactions and Applications #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)
paper · pdf · doi:10.48550/arxiv.patt-sol/9306001
openalex publication_date 1993/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.