294 citations · 900 across the 16 of their papers we have counts for
16 papers
Modulational instability in isolated and driven Fermi--Pasta--Ulam lattices
Thierry Dauxois, R. Khomeriki, S. Ruffo
We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi--Pasta--Ulam (FPU) lattices. The growth of the instabi…
Vlasov equation for long-range interactions on a lattice
Romain Bachelard, F. Staniscia, Thierry Dauxois +2
We show that, in the continuum limit, the dynamics of Hamiltonian systems defined on a lattice with long-range couplings is well described by the Vlasov equation. This equation can…
Stability of inhomogeneous states in mean-field models with a local potential
Romain Bachelard, F. Staniscia, Thierry Dauxois +2
The Vlasov equation is well known to provide a good description of the dynamics of mean-field systems in the limit. This equation has an infinity of stationary state…
Abundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems
Romain Bachelard, Cristel Chandre, Duccio Fanelli +2
We investigate the dynamics of many-body long-range interacting systems, taking the Hamiltonian Mean Field model as a case study. We show that an abundance of regular trajectories,…
Negative magnetic susceptibility and nonequivalent ensembles for the mean-field spin model
A. Campa, S. Ruffo, H. Touchette
We calculate the thermodynamic entropy of the mean-field spin model in the microcanonical ensemble as a function of the energy and magnetization of the model. The entropy and…
Inhomogeneous Quasi-stationary States in a Mean-field Model with Repulsive Cosine Interactions
F. Leyvraz, M. -C. Firpo, S. Ruffo
The system of N particles moving on a circle and interacting via a global repulsive cosine interaction is well known to display spatially inhomogeneous structures of extraordinary…