Comparaison entre moyennes temporelles et microcanoniques : Une contribution à l'étude de l'ergodicité

Abstract

The present work is concerned with the exact calculation of several microcanonical and time mean over the H = E manifold for a two degree of freedom conservative anc non integrable hamiltonian system. As expected the chaotic behavior is growing with the energy i.e. the difference between time mean f and microcanonical mean <f> is going to zero at high energy. The domain of chaotic behavior is quite the same as found with the Poincaré's map method.