UMR 5672

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Quasi-integrable systems: dynamics and fluctuations

Tomer Goldfriend (LPS, ENS Paris)
When Jul 03, 2018
from 11:00 AM to 12:00 PM
Where room 115
Attendees Tomer Goldfriend
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Quasi-integrable systems, i.e., whose Hamiltonian slightly differs from an integrable one, appear in various areas such as planetary motion, weak turbulence, and quantum mechanics. We study the dynamics of such systems, focusing on the Fermi-Pasta-Ulam-Tsingou chain. We show how slow evolution in time is dictated by weakly non-conserved quantities, which in turn allows us to describe the system with a generalized Gibbs ensemble. This description can be employed to devise a fast numerical integration, and underlies a fluctuation theorem for quasi-integrable systems. In the last part of the talk relevant problems in the solar system dynamics will be presented.