44 citations · 108 across the 5 of their papers we have counts for
5 papers
On the role of the Integrable Toda model in one-dimensional molecular dynamics
Giancarlo Benettin, Giuseppe Orsatti, Antonio Ponno
We prove that the common Mie-Lennard-Jones (MLJ) molecular potentials, appropriately normalized via an affine transformation, converge, in the limit of hard-core repulsion, to the…
The Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents
G. Benettin, S. Pasquali, A. Ponno
FPU models, in dimension one, are perturbations either of the linear model or of the Toda model; perturbations of the linear model include the usual -model, perturbations of Tod…
The Steep Nekhoroshev's Theorem
Massimiliano Guzzo, Luigi Chierchia, Giancarlo Benettin
Revising Nekhoroshev's geometry of resonances, we provide a fully constructive and quantitative proof of Nekhoroshev's theorem for steep Hamiltonian systems proving, in particular,…
The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model
S. Lepri, L. Rondoni, G. Benettin
We test the applicability of the Gallavotti-Cohen fluctuation formula on a nonequilibrium version of the periodic Ehrenfest wind-tree model. This is a one-particle system whose dyn…
A rigorous implementation of the Jeans--Landau--Teller approximation
G. Benettin, A. Carati, G. Gallavotti
Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The resul…