86 citations · 692 across the 44 of their papers we have counts for
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Out of Equilibrium Solutions in the -Hamiltonian Mean Field model
Xavier Leoncini, Tineke L. Van Den Berg, Duccio Fanelli
Out of equilibrium magnetised solutions of the -Hamiltonian Mean Field (-HMF) model are build using an ensemble of integrable uncoupled pendula. Using these solutions we di…
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,…
Stabilizing the intensity for a Hamiltonian model of the FEL
R. Bachelard, C. Chandre, D. Fanelli +2
The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles, as in a Free Electron Laser, displays large oscillations due to an aggregat…
Directed transport in a spatially periodic potential under periodic non-biased forcing
Xavier Leoncini, Anatoly Neishtadt, Alexei Vasiliev
Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of moti…
Ergodicité, collage et transport anomal
Xavier Leoncini, Cristel Chandre, Ouerdia Ourrad
Nous nous intéressons à la convergence vers sa moyenne spatiale ergodique de la moyenne temporelle d'une observable d'un flow hamiltonien à un degré et demi de liberté avec espace…