On "Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions" by Figueiredo et al

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dc.creatorPluchino, A.
dc.creatorRapisarda, A.
dc.creatorTsallis, C.
dc.date2008-05-23
dc.date2009-03-14
dc.date.accessioned2026-07-07T12:58:46Z
dc.date.available2026-07-07T12:58:46Z
dc.descriptionIn the present paper we refute the criticism advanced in a recent preprint by Figueiredo et al [1] about the possible application of the $q$-generalized Central Limit Theorem (CLT) to a paradigmatic long-range-interacting many-body classical Hamiltonian system, the so-called Hamiltonian Mean Field (HMF) model. We exhibit that, contrary to what is claimed by these authors and in accordance with our previous results, $q$-Gaussian-like curves are possible and real attractors for a certain class of initial conditions, namely the one which produces nontrivial longstanding quasi-stationary states before the arrival, only for finite size, to the thermal equilibrium.
dc.description2 pages, 2 figures. Short version of the paper, accepted for publication in Europhysics Letters, (2009) in press
dc.identifierhttps://arxiv.org/abs/0805.3652
dc.identifierhttp://arxiv.org/abs/0805.3652
dc.identifierEurophysics Letters 85 (2009) 60006
dc.identifierdoi:10.1209/0295-5075/85/60006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225354
dc.subjectStatistical Mechanics
dc.titleOn "Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions" by Figueiredo et al
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