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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.