Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model

Xavier Leoncini (1, 2) , Tineke L. van den Berg (1, 2) , Duccio Fanelli (3)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332
3 Dipartimento di Energetica “Sergio Stecco”

Out of equilibrium magnetised solutions of the $XY$-Hamiltonian Mean Field ($XY$-HMF) model are build using an ensemble of integrable uncoupled pendula. Using these solutions we display an out-of equilibrium phase transition using a specific reduced set of the magnetised solutions.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Dynamique Chaotique [nlin.CD]

Xavier Leoncini, Tineke L. van den Berg, Duccio Fanelli. Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model. 2008. ⟨hal-00323591v1⟩