Dynamical phase transitions in long-range Hamiltonian systems and Tsallis distributions with a time-dependent index

Alessandro Campa , Pierre-Henri Chavanis (1) , Andrea Giansanti , Gianluca Morelli

1 PhyStat - Physique Statistique des Systèmes Complexes (LPT)

We study dynamical phase transitions in systems with long-range interactions, using the Hamiltonian Mean Field (HMF) model as a simple example. These systems generically undergo a violent relaxation to a quasi-stationary state (QSS) before relaxing towards Boltzmann equilibrium. In the collisional regime, the out-of-equilibrium one-particle distribution function (DF) is a quasi-stationary solution of the Vlasov equation, slowly evolving in time due to finite $N$ effects. For subcritical energies $7/12

Domaines: Mécanique statistique [cond-mat.stat-mech]

Alessandro Campa, Pierre-Henri Chavanis, Andrea Giansanti, Gianluca Morelli. Dynamical phase transitions in long-range Hamiltonian systems and Tsallis distributions with a time-dependent index. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 78 (1), pp.040102(R). ⟨10.1103/PhysRevE.78.040102⟩. ⟨hal-00419411⟩