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

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We show the relevance of the dispersive analogue of the shock waves in the FPU dynamics. In particular we give strict numerical evidences 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.
11 pages, 6 figures

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Exactly Solvable and Integrable Systems, Mathematical Physics, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/105167

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0511026
 http://arxiv.org/abs/nlin/0511026
 Physica D 221 (2006) (2), pp. 110-117
 doi:10.1016/j.physd.2006.07.017

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arXiv