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.
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