We here discuss the emergence of quasistationary states (QSS), a universal feature of systems with long-range interactions. With reference to the Hamiltonian mean-field model, numerical simulations are performed based on both the original N-body setting and the continuum Vlasov model which is supposed to hold in the thermodynamic limit. A detailed comparison unambiguously demonstrates that the Vlasov-wave system provides the correct framework to address the study of QSS. Further, analytical calculations based on Lynden-Bell's theory of violent relaxation are shown to result in accurate predictions. Finally, in specific regions of parameters space, Vlasov numerical solutions are shown to be affected by small scale fluctuations, a finding that points to the need for novel schemes able to account for particle correlations.
|Autori interni:||CALIFANO, FRANCESCO|
|Autori:||Antoniazzi A; Califano F; Fanelli D; Ruffo S|
|Titolo:||Exploring the thermodynamic limit of Hamiltonian models: Convergence to the Vlasov equation|
|Anno del prodotto:||2007|
|Digital Object Identifier (DOI):||10.1103/PhysRevLett.98.150602|
|Appare nelle tipologie:||1.1 Articolo in rivista|