The role of KdV and Toda in the FPUT problem

  • Thu 10 Jun 21

    15:00 - 16:00

  • Online


  • Event speaker

    Helen Christodoulidi

  • Event type

    Lectures, talks and seminars

  • Event organiser

    Mathematical Sciences, Department of

  • Contact details

    Jesus Martinez-Garcia

These Departmental Seminars are for everyone in Maths. We encourage anyone interested in the subject in general, or in the particular subject of the seminar, to come along. It's a great opportunity to meet people in the Maths Department and join in with our community.

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.


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)