On the thermalization of the $\alpha$-Fermi-Pasta-Ulam system
Speaker: Miguel Onorato, Universita' di Torino, ITALY
Time: 4.00PM
Date: Wednesday 22nd January 2014
Location: Merrion Room (G24), Ground Floor, NexusUCD, University College Dublin. Blocks 9 & 10, Belfield Office Park
Abstract:
I investigate theoretically the $\alpha$-Fermi-Pasta-Ulam (FPU) system. I will show that the dynamics is ruled by a six-wave interaction process. The nonlinear time scale for thermalization is estimated to be at least of the order of $1/\alpha^8$, with $\alpha$ being the small nonlinear spring constant. This observation provides a comprehensive explanation of the lack of observation of thermalization in many numerical simulations of the $\alpha$-FPU system.
Series: Applied and Computational Mathematics Seminar Series
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