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

Abstract

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.

arXiv comment11 pages, 6 figures

References in corpus (2)

• Resolution of a shock in hyperbolic systems modified by weak dispersion
• Symmetry and resonance in periodic FPU chains

Cited by in corpus (5)

• Resonant radiation shed by dispersive shock waves
• Tail resonances of FPU q-breathers and their impact on the pathway to equipartition
• An extensive adiabatic invariant for the Klein-Gordon model in the thermodynamic limit
• Periodic Orbits in Fermi-Pasta-Ulam-Tsingou Systems
• Integrable Approximations of Dispersive Shock Waves of the Granular Chain