14 July 2020
We consider the Fermi-Pasta-Ulam-Tsingou (FPUT) chain composed by N particles on the line and endowed the phase space with the Gibbs measure at temperature 1/beta. We prove that the integrals of motion of the Toda chain are adiabatic invariants for the FPTU chain for times of order beta. Further we prove that certain combination of the harmonic energies are adiabatic invariants of the FPUT chain on the same time scale, while they are adiabatic invariants for Toda chain for all times. Joint work with A. Maspero, G. Mazzuca and A. Ponno.
- Random Matrix Theory Seminars