On "Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions" by Figueiredo et al
Abstract
In the present paper we refute the criticism advanced in a recent preprint by Figueiredo et al [1] about the possible application of the -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, -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.
Keywords
Cite
@article{arxiv.0805.3652,
title = {On "Ergodicity and Central Limit Theorem in Systems with Long-Range Interactions" by Figueiredo et al},
author = {A. Pluchino and A. Rapisarda and C. Tsallis},
journal= {arXiv preprint arXiv:0805.3652},
year = {2009}
}
Comments
2 pages, 2 figures. Short version of the paper, accepted for publication in Europhysics Letters, (2009) in press