Monday, July 29, 2013

1307.7017 (Alberto Maiocchi et al.)

An averaging theorem for FPU in the thermodynamic limit    [PDF]

Alberto Maiocchi, Dario Bambusi, Andrea Carati
Consider an FPU chain composed of $N\gg 1$ particles, and endow the phase space with the Gibbs measure corresponding to a small temperature $\beta^{-1}$. Given a fixed $K0$) for initial data in a set of large measure. Furthermore, the time autocorrelation function of the energy of each packet does not decay significantly for times of order $\beta$. The restrictions on the shape of the packets are very mild. All estimates are uniform in the number $N$ of particles and thus hold in the thermodynamic limit $N\to\infty$, $\beta>0$.
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