The “classical” thermodynamic and statistical mechanical theories of Gibbs and Boltzmann are both predicated on axiomatic assumptions whose applicability is hard to ascertain …
A Carati, L Galgani, F Gangemi, R Gangemi - Physica A: Statistical …, 2019 - Elsevier
It is well known that Gibbs' statistical mechanics is not justified for systems presenting long- range interactions, such as plasmas or galaxies. In a previous work we considered a …
We investigate the long term evolution of trajectories in the Fermi-Pasta-Ulam (FPU) system, using as a probe the first non--trivial integral $ J $ in the hierarchy of integrals of the …
A Carati, A Ponno - Journal of Statistical Physics, 2018 - Springer
We study, both numerically and analytically, the time needed to observe the breaking of an FPU α α-chain in two or more pieces, starting from an unbroken configuration at a given …
G Amati, T Schilling - Chaos: An Interdisciplinary Journal of Nonlinear …, 2020 - pubs.aip.org
We study the statistics and short-time dynamics of the classical and the quantum Fermi– Pasta–Ulam chain in the thermal equilibrium. We analyze the distributions of single-particle …
In this Chapter, I briefly introduce the research themes that will be explored in this Thesis. First, I digress on the ergodic hypothesis, and its reconsideration in the current trends of …