abstract: The study of thermalization processes in isolated systems is of broad interest.
It was pioneered by Fermi-Pasta-Ulam-Tsingou (FPUT), who discovered the “paradoxical” absence
of thermalization in a one-dimensional lattice of coupled nonlinear oscillators.
In this talk I will present a new avenue towards the understanding of thermalization,
the presence of a power-law in the Fourier energy spectrum. A universal scaling exponent is obtained
by mapping the FPUT model onto a pair of Burgers equations. Energy is transferred to higher Fourier modes
like in “Burgers turbulence”, while a ``shock” develops on the lattice, and only at much longer
times the systems reaches energy equipartition.