964 citations · 1.5k across the 14 of their papers we have counts for
5 papers · 1 filter
The Anti-FPU Problem
Thierry Dauxois, Ramaz Khomeriki, Francesco Piazza +1
We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi-Pasta-Ulam (FPU) lattices. Following this instability,…
Links between nonlinear dynamics and statistical mechanics in a simple one-dimensional model
Hicham Qasmi, Julien Barre', Thierry Dauxois
We consider the links between nonlinear dynamics and thermodynamics in the framework of a simple nonlinear model for DNA. Two analyses of the phase transition, either with the tran…
Prediction of anomalous diffusion and algebraic relaxations for long-range interacting systems, using classical statistical mechanics
Freddy Bouchet, Thierry Dauxois
We explain the ubiquity and extremely slow evolution of non gaussian out-of-equilibrium distributions for the Hamiltonian Mean-Field model, by means of traditional kinetic theory.…
Large deviation techniques applied to systems with long-range interactions
Julien Barre', Freddy Bouchet, Thierry Dauxois +1
We discuss a method to solve models with long-range interactions in the microcanonical and canonical ensemble. The method closely follows the one introduced by Ellis, Physica D 133…
Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
Y. Y. Yamaguchi, J. Barr'e, F. Bouchet +2
We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-Field (HMF) model, a prototype for long-range interactions in -particle dynamics. In pa…