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The role of integrability in Fermi-Pasta-Ulam-Tsingou-like models
Published 22 Sep 2025 in math-ph and math.MP | (2509.17753v1)
Abstract: In these lecture notes, we present, contextualize, and discuss the phenomenon of metastability (or prethermalization) in the Fermi-Pasta-Ulam-Tsingou lattice and similar models from the viewpoint of perturbation theory. We provide an updated state-of-the-art description of this intermediate state in terms of the underlying integrable dynamics, in particular the Korteweg-de Vries and inviscid Burgers equations.
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