title: Truncated Lévy flights and weak ergodicity breaking in the Hamiltonian mean-field model.
abstract: The dynamics of the Hamiltonian mean-field model is studied in the context of continuous-time random walks. We show that the sojourn times in cells in the momentum space are well described by a one-sided truncated Lévy distribution. Consequently, the system is nonergodic for long observation times that diverge with the number of particles. Ergodicity is attained only after very long times both at thermodynamic equilibrium and at quasistationary out-of-equilibrium states.
authors.affiliation: Instituto de Física and International Center for Condensed Matter Physics Universidade de Brasília, CP 04455, 70919-970 Brasília, Brazil.
authors.forename: A
authors.initials: A
authors.lastname: Figueiredo
authors.affiliation: Instituto de Física and International Center for Condensed Matter Physics Universidade de Brasília, CP 04455, 70919-970 Brasília, Brazil.
authors.forename: T M Rocha
authors.initials: TM
authors.lastname: Filho
authors.affiliation: Instituto de Física and International Center for Condensed Matter Physics Universidade de Brasília, CP 04455, 70919-970 Brasília, Brazil.
authors.forename: M A
authors.initials: MA
authors.lastname: Amato
authors.affiliation: Departamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz CEP 45662-900, Brazil and International Center for Condensed Matter Physics Universidade de Brasília, CP 04455, 70919-970 Brasília, Brazil.
authors.forename: Z T
authors.initials: ZT
authors.lastname: Oliveira
authors.affiliation: Departamento de Estatística Universidade de Brasília, CP 04455, 70919-970 Brasília, Brazil.
authors.forename: R
authors.initials: R
authors.lastname: Matsushita
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical; D013269:Stochastic Processes