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

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

2005-11-14

arxiv.org/abs/nlin/0511026v1

Physica D 221 (2006) (2), pp. 110-117

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, 6 figures

Scientific paper

10.1016/j.physd.2006.07.017

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.

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