title: Noise-induced dynamical phase transitions in long-range systems.
abstract: In the thermodynamic limit, the time evolution of isolated long-range interacting systems is properly described by the Vlasov equation. This equation admits nonequilibrium dynamically stable stationary solutions characterized by a zero order parameter. We show that the presence of external noise sources, such as a heat bath, can reduce their lifetime and induce at a specific time a dynamical phase transition marked by a nonzero order parameter. This transition may be used as a distinctive experimental signature of the temporary existence of nonequilibrium Vlasov-stable states. In particular, we present evidence of a regime characterized by an order parameter pulse. Our analytical results are corroborated by numerical simulations of a paradigmatic long-range model.
authors: Laboratoire de Physique Théorique (IRSAMC), CNRS and UPS, Université Paul Sabatier, F-31062 Toulouse, France.
authors: Pierre-Henri
authors: PH
authors: Chavanis
authors: Fulvio
authors: F
authors: Baldovin
authors: Enzo
authors: E
authors: Orlandini