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• W3099319938 startingPage "26002" @default.
• W3099319938 abstract "We present a molecular dynamics test of the Central Limit Theorem (CLT) in a paradigmatic long-range-interacting many-body classical Hamiltonian system, the HMF model. We calculate sums of velocities at equidistant times along deterministic trajectories for different sizes and energy densities. We show that, when the system is in a chaotic regime (specifically, at thermal equilibrium), ergodicity is essentially verified, and the Pdfs of the sums appear to be Gaussians, consistently with the standard CLT. When the system is, instead, only weakly chaotic (specifically, along longstanding metastable Quasi-Stationary States), nonergodicity (i.e., discrepant ensemble and time averages) is observed, and robust $q$-Gaussian attractors emerge, consistently with recently proved generalizations of the CLT." @default.
• W3099319938 created "2020-11-23" @default.
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• W3099319938 date "2007-09-21" @default.
• W3099319938 modified "2023-09-27" @default.
• W3099319938 title "Nonergodicity and central-limit behavior for long-range Hamiltonians" @default.
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• W3099319938 doi "https://doi.org/10.1209/0295-5075/80/26002" @default.
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