On the relationship between Lyapunov times and macroscopic instability times |
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Authors: | Alessandro Morbidelli Claude Froeschlé |
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Affiliation: | (1) URA 1, Observatoire de la Côte d'Azur, Nice, France |
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Abstract: | On the basis of the general theory of Hamiltonian systems, we consider the relationship between Lyapunov times and macroscopic diffusion times. We find out that there are two regimes: the Nekhoroshev regime and the resonant overlapping regime. In the first case the diffusion time is exponentially long with respect to Lyapunov times. In the second case, the relationship is polynomial although we do not find any theoretical reason for the existence of a universal power law. We show numerical evidences which confirm our theoretical considerations. |
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Keywords: | Invariant tori overlapping of resonances Lyapunov exponents diffusion times random walk |
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