294 citations · 900 across the 16 of their papers we have counts for
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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…
Ensemble inequivalence: A formal approach
F. Leyvraz, S. Ruffo
Ensemble inequivalence has been observed in several systems. In particular it has been recently shown that negative specific heat can arise in the microcanonical ensemble in the th…
Chaos suppression in the large size limit for long-range systems
M. -C. Firpo, S. Ruffo
We consider the class of long-range Hamiltonian systems first introduced by Anteneodo and Tsallis and called the alpha-XY model. This involves N classical rotators on a d-dimension…