SEMINAIRE MERCREDI 3 NOVEMBRE 2004
14 heures
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Antonio Ponno
CPT

Title: Energy cascade in oscillator chains: The FPU problem

Abstract: An analytical study of the classical Fermi-Pasta-Ulam
problem is presented. The core of method is based on the approximation
of the FPU dynamics by means of suitable partial differential
equations which constitute the resonant normal form in the problem at
hand. Through dimensional-singularity analysis we give estimates of
some relevant quantities characterizing the energy spectrum of Fourier
modes in the state of meta-equilibrium. The result presented are part
of a work in progress done in collaboration with Dario Bambusi
(Universita' di Milano).