Memory effects in the Fermi–Pasta–Ulam model

G Amati, H Meyer, T Schilling - Journal of Statistical Physics, 2019 - Springer
We study the intermediate scattering function (ISF) of the strongly-nonlinear Fermi–Pasta–
Ulam Model at thermal equilibrium, using both numerical and analytical methods. From the …

A dynamical system approach to relaxation in glass-forming liquids

JF Douglas, QL Yuan, J Zhang, H Zhang, WS Xu - Soft Matter, 2024 - pubs.rsc.org
The “classical” thermodynamic and statistical mechanical theories of Gibbs and Boltzmann
are both predicated on axiomatic assumptions whose applicability is hard to ascertain …

Relaxation times and ergodic properties in a realistic ionic-crystal model, and the modern form of the FPU problem

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 …

Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral

H Christodoulidi, C Efthymiopoulos - arXiv preprint arXiv:1812.01924, 2018 - arxiv.org
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 …

Chopping Time of the FPU -Model

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 …

Structural localization in the classical and quantum Fermi–Pasta–Ulam model

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 …

[PDF][PDF] Slow dynamics and ergodicity breaking in many-body systems

F Balducci - 2022 - iris.sissa.it
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 …

[引用][C] Coarse-graining analysis of the Fermi-Pasta-Ulam model

G Amati - 2020 - Dissertation, Universität Freiburg …