272 citations · 1.2k across the 23 of their papers we have counts for
15 papers · 1 filter
Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions
Julien Barré, José Antonio Carrillo de la Plata, Pierre Degond +2
We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming…
Finite Size Effects for the Ising Model on Random Graphs with Varying Dilution
Julien Barre', Antonia Ciani, Duccio Fanelli +2
We investigate the finite size corrections to the equilibrium magnetization of an Ising model on a random graph with nodes and edges, with . By conveniently…
Ensemble inequivalence in random graphs
Julien Barre, Bruno Goncalves
We present a complete analytical solution of a system of Potts spins on a random k-regular graph in both the canonical and microcanonical ensembles, using the Large Deviation Cavit…
A maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model
Andrea Antoniazzi, Duccio Fanelli, Julien Barré +3
A generic feature of systems with long-range interactions is the presence of {\it quasi-stationary} states with non-Gaussian single particle velocity distributions. For the case of…
On adaptability and "intermediate phase" in randomly connected networks
J. Barre', A. R. Bishop, T. Lookman +1
We present a simple model that enables us to analytically characterize a floppy to rigid transition and an associated self-adaptive intermediate phase in a random bond network. In…
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…
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…
Statistical theory of high-gain free-electron laser saturation
Julien Barre', Thierry Dauxois, Giovanni De Ninno +2
We propose a new approach, based on statistical mechanics, to predict the saturated state of a single-pass, high-gain free-electron laser (FEL). In analogy with the violent relaxat…
Classification of phase transitions and ensemble inequivalence, in systems with long range interactions
Freddy Bouchet, Julien Barre
Systems with long range interactions in general are not additive, which can lead to an inequivalence of the microcanonical and canonical ensembles. The microcanonical ensemble may…
Ensemble Inequivalence in Mean-field Models of Magnetism
Julien Barre', David Mukamel, Stefano Ruffo
Mean-field models, while they can be cast into an {\it extensive} thermodynamic formalism, are inherently {\it non additive}. This is the basic feature which leads to {\it ensemble…
Out-of-equilibrium states as statistical equilibria of an effective dynamics
Julien Barre', Freddy Bouchet, Thierry Dauxois +1
We study the formation of coherent structures in a system with long-range interactions where particles moving on a circle interact through a repulsive cosine potential. Non equilib…
Microcanonical solution of lattice models with long range interactions
Julien Barre
We present a general method to obtain the microcanonical solution of lattice models with long range interactions. As an example, we apply it to the long range Ising chain, focusing…
Lyapunov exponents as a dynamical indicator of a phase transition
Julien Barre, Thierry Dauxois
We study analytically the behavior of the largest Lyapunov exponent for a one-dimensional chain of coupled nonlinear oscillators, by combining the transfer integral method an…
Clustering in a model with repulsive long-range interactions
Julien Barre, Thierry Dauxois, Stefano Ruffo
A striking clustering phenomenon in the antiferromagnetic Hamiltonian Mean-Field model has been previously reported. The numerically observed bicluster formation and stabilization…