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

Xavier Leoncini (1, 2, 3) , Tineke L. van den Berg (2, 3) , Duccio Fanelli (4)

1 CPT - Ex E7 Systèmes dynamiques et théorie ergodique
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332
4 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. EPL - Europhysics Letters, 2009, 86 (2), pp.20002. ⟨10.1209/0295-5075/86/20002⟩. ⟨hal-00323591v2⟩