most citedA maximum entropy principle explains quasi-stationary states in systems with long-range interactions: the example of the Hamiltonian Mean Field model

126 citations · 412 across the 7 of their papers we have counts for

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7 papers

cond-mat.stat-mech2007★ 1 cited

The Hamiltonian Mean Field model: anomalous or normal diffusion?

Andrea Antoniazzi, Duccio Fanelli, Stefano Ruffo

We consider the out-of-equilibrium dynamics of the Hamiltonian Mean Field (HMF) model, by focusing in particular on the properties of single-particle diffusion. As we shall here de…

cond-mat.stat-mech2007★ 121 cited

Out-of-equilibrium tricritical point in a system with long-range interactions

Andrea Antoniazzi, Duccio Fanelli, Stefano Ruffo +1

Systems with long-range interactions display a short-time relaxation towards Quasi Stationary States (QSSs) whose lifetime increases with system size. With reference to the Hamilto…

cond-mat.stat-mech2007★ 102 cited

Exploring the thermodynamic limit of Hamiltonian models: convergence to the Vlasov equation

Andrea Antoniazzi, Francesco Califano, Duccio Fanelli +1

We here discuss the emergence of Quasi Stationary States (QSS), a universal feature of systems with long-range interactions. With reference to the Hamiltonian Mean Field (HMF) mode…

nlin.CD2007★ 2 cited

Enhancement of particle trapping in the wave-particle interaction

Romain Bachelard, Andrea Antoniazzi, Cristel Chandre +2

The saturated dynamics of a Single-Pass Free Electron Laser is considered within a simplified mean-field approach. A method is proposed to increase the size of the macro-particle,…

nlin.CD2006★ 7 cited

Stabilizing the intensity of a wave amplified by a beam of particles

Romain Bachelard, Andrea Antoniazzi, Cristel Chandre +3

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 aggregate…

cond-mat.stat-mech2006★ 126 cited

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…