<< In physics, the Fermi-Pasta-Ulam-Tsingou (FPUT) problem—which found that certain nonlinear systems do not disperse their energy, but rather return to their initial excited states—has been a challenge that scientists have tackled repeatedly since 1955. >>
Grove Potter. Study unravels long-held Fermi puzzle tied to nonlinear systems. Apr. 14, 2017.
https://m.phys.org/news/2017-04-unravels-long-held-fermi-puzzle-tied.html
<< As a by-product, we show how fluctuations of system quantities, and thus the distribution functions, are influenced by the Hertz potential. In particular, the variance of the system's kinetic energy probability density function is reduced by a factor related to the contact potential >>
Michelle Przedborski, Surajit Sen, and Thad A. Harroun. Fluctuations in Hertz chains at equilibrium. Phys. Rev. E 95, 032903 doi: 10.1103/PhysRevE.95.032903 Publ. 6 March 2017
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.032903