We show that, for long-wavelength initial conditions, the FPU dynamics is described, up to a certain time, by two KdV-like equations, which represent the resonant Hamiltonian normal form of the system. The energy cascade taking place in the system is then qualitatively characterized by arguments of dimensional analysis based on such equations.

Energy cascade in Fermi-Pasta-Ulam models

PONNO, ANTONIO;
2005

Abstract

We show that, for long-wavelength initial conditions, the FPU dynamics is described, up to a certain time, by two KdV-like equations, which represent the resonant Hamiltonian normal form of the system. The energy cascade taking place in the system is then qualitatively characterized by arguments of dimensional analysis based on such equations.
2005
Proceedings of the International Conference on SPT 2004
9789812561367
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/181765
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