55 citations · 217 across the 11 of their papers we have counts for
11 papers
Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain
Matteo Gallone, Ricardo Grande, Antonio Ponno +2
We investigate the dynamics of the Fermi--Pasta--Ulam--Tsingou chain with long-wavelength random initial data. When the energy per particle is small, thermal equilibrium is not rea…
Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
Matteo Gallone, Antonio Ponno, Stefano Ruffo
The dynamics of initial long-wavelength excitations of the Fermi-Pasta-Ulam-Tsingou chain has been the subject of intense investigations since the pioneering work of Fermi and coll…
On the role of the Integrable Toda model in one-dimensional molecular dynamics
Giancarlo Benettin, Giuseppe Orsatti, Antonio Ponno
We prove that the common Mie-Lennard-Jones (MLJ) molecular potentials, appropriately normalized via an affine transformation, converge, in the limit of hard-core repulsion, to the…
Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
Matteo Gallone, Matteo Marian, Antonio Ponno +1
We prove analytically and show numerically that the dynamics of the Fermi-Pasta-Ulam-Tsingou chain is characterised by a transient Burgers turbulence regime on a wide range of time…
Hamiltonian field theory close to the wave equation: from Fermi-Pasta-Ulam to water waves
Matteo Gallone, Antonio Ponno
In the present work we analyse the structure of the Hamiltonian field theory in the neighbourhood of the wave equation . We show that, restricting to ``graded'' poly…
Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves
Matteo Gallone, Antonio Ponno, Bob Rink
In this paper we construct a higher order expansion of the manifold of quasi unidirectional waves in the Fermi-Pasta-Ulam (FPU) chain. We also approximate the dynamics on this mani…