We show the relevance of the dispersive analogue of the shock waves in the FPU dynamics. In particular we give strict numerical evidence that metastable states emerging from low frequency initial excitations are indeed constituted by dispersive shock waves travelling through the chain. Relevant characteristics of the metastable states, such as their frequency extension and their time scale of formation, are correctly obtained within this framework, using the underlying continuum model, the KdV equation. © 2006 Elsevier Ltd. All rights reserved.

Lorenzoni, P., Paleari, S. (2006). Metastability and dispersive shock waves in Fermi-Pasta-Ulam system. PHYSICA D-NONLINEAR PHENOMENA, 221(2), 110-117 [10.1016/j.physd.2006.07.017].

Metastability and dispersive shock waves in Fermi-Pasta-Ulam system

LORENZONI, PAOLO;
2006

Abstract

We show the relevance of the dispersive analogue of the shock waves in the FPU dynamics. In particular we give strict numerical evidence that metastable states emerging from low frequency initial excitations are indeed constituted by dispersive shock waves travelling through the chain. Relevant characteristics of the metastable states, such as their frequency extension and their time scale of formation, are correctly obtained within this framework, using the underlying continuum model, the KdV equation. © 2006 Elsevier Ltd. All rights reserved.
Articolo in rivista - Articolo scientifico
Metastability, dispersive shock waves, Fermi-Pasta-Ulam model
English
2006
221
2
110
117
none
Lorenzoni, P., Paleari, S. (2006). Metastability and dispersive shock waves in Fermi-Pasta-Ulam system. PHYSICA D-NONLINEAR PHENOMENA, 221(2), 110-117 [10.1016/j.physd.2006.07.017].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/5678
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