This paper is devoted to a numerical study of the familiar Î±+Î² FPU model. Precisely, we here discuss, revisit and combine together two main ideas on the subject: (i) In the system, at small specificâ€¦ (More)

We show that the value of the spontaneous magnetization for the twodimensional Ising model computed by Onsager is indeed, the appropriate derivative of the free energy with respect to the magneticâ€¦ (More)

The FPU problem, i.e., the problem of energy equipartition among normal modes in a weakly nonlinear lattice, is here studied in dimension two, more precisely in a model with triangular cell andâ€¦ (More)

Continuing the previous work on the same subject, we study here different two-dimensional Fermi-Pasta-Ulam (FPU)-like models, namely, planar models with a triangular cell, molecular-type potentialâ€¦ (More)

FPU models, in dimension one, are perturbations either of the linear model or of the Toda model; perturbations of the linear model include the usual Î²-model, perturbations of Toda include the usualâ€¦ (More)