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Bright and dark breathers in Fermi-Pasta-Ulam lattices

Opened Access Bright and dark breathers in Fermi-Pasta-Ulam lattices

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Autor: Sánchez-Rey, Bernardo
James, Guillaume
Cuevas-Maraver, Jesús
Archilla, Juan F. R.
Departamento: Universidad de Sevilla. Departamento de Física Aplicada I
Fecha: 2004
Publicado en: Physical Review B (2004, v. 70, p. 014301:1-10)
Tipo de documento: Artículo
Resumen: n this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. Acad. Sci. Paris, 332, Ser. 1 Math, 332, 581 (2001)] using numerical computations. Approximate analytical expressions for small amplitude bright and dark breathers are found to fit very well exact numerical solutions even far from the top of the phonon band. On the other hand, we study numerically large amplitude breathers nonpredicted in the above cited reference. In particular, for a class of asymmetric FPU potentials we find an energy threshold for the existence of exact discrete breathers, which is a relatively unexplored phenomenon in one-dimensional lattices. Bright and dark breathers superposed on a uniformly stressed static configuration are also investigated.
Tamaño: 144.1Kb
Formato: PDF

URI: http://hdl.handle.net/11441/18580

DOI: 10.1103/PhysRevB.70.014301

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