The role of KdV and Toda in the FPUT problem

The role of KdV and Toda in the FPUT problem

The celebrated Fermi-Pasta-Ulam-Tsingou model is a long chain of coupled nonlinear oscillators representing the simplest one-dimensional analogue of atoms in a crystal. This system represents a benchmark in the history of nonlinear science: The FPUT problem sparked the birth of both computational mathematics and integrable systems.

Most notably, it is the first dynamical system numerically integrated on a computer while its enigmatic non-ergodic behaviour is puzzling the scientists for over 65 years, with innumerable works published.

In this talk I will focus on the role of two integrable models, namely I) the Korteweg-de Vries equation (KdV), which describes waves on shallow water surfaces, and II) the Toda lattice, in explaining FPUT's non-ergodic behaviour at low energies.

Speaker

Helen Christodoulidi, University of Lincoln.

How to attend

If not a member of the Dept. Mathematical Science at the University of Essex, you can register your interest in attending the seminar and request the Zoom’s meeting password by emailing Dr Jesus Martinez-Garcia (jesus.martinez-garcia@essex.ac.uk)