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19982026
most citedAbundance of regular orbits and out-of-equilibrium phase transitions in the thermodynamic limit for long-range systems

86 citations · 692 across the 44 of their papers we have counts for

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13 papers · 1 filter

cond-mat.stat-mech2021

Fast collective oscillations and clustering phenomena in an antiferromagnetic mean-field model

Arthur Vesperini, Roberto Franzosi, Stefano Ruffo +2

We study the out-of-equilibrium properties of the antiferromagnetic Hamiltonian Mean-Field model at low energy. In this regime, the Hamiltonian dynamics exhibits the presence of a…

cond-mat.stat-mech2016

Slowing down of so-called chaotic states: "Freezing" the initial state

Martin Belger, Sarah De Nigris, Xavier Leoncini

The so-called chaotic states that emerge on the model of interacting on regular critical range networks are analyzed. Typical time scales are extracted from the time series an…

cond-mat.stat-mech2015★ 2 cited

Emergence of a collective crystal in a classical system with long-range interactions

Alessio Turchi, Duccio Fanelli, Xavier Leoncini

A one-dimensional long-range model of classical rotators with an extended degree of complexity, as compared to paradigmatic long-range systems, is introduced and studied. Working a…

cond-mat.stat-mech2013★ 26 cited

Critical behaviour of the XY -rotors model on regular and small world networks

Sarah De Nigris, Xavier Leoncini

We study the XY-rotors model on small networks whose number of links scales with the system size , where . We first focus on regular one dimensional r…

cond-mat.stat-mech2012★ 16 cited

Emergence of a non trivial fluctuating phase in the XY model on regular networks

Sarah De Nigris, Xavier Leoncini

We study an XY-rotor model on regular one dimensional lattices by varying the number of neighbours. The parameter is defined. corresponds to mean field and …

cond-mat.stat-mech2011★ 36 cited

Statistical theory of quasi stationary states beyond the single water-bag case study

Mallbor Assllani, Duccio Fanelli, Alessio Turchi +2

An analytical solution for the out-of-equilibrium quasi-stationary states of the paradigmatic Hamiltonian Mean Field (HMF) model can be obtained from a maximum entropy principle. T…