A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model

2008/01/18 by Alessandro Pluchino, A. Pluchino, A. Rapisarda +3 · 2 citations
Physics and Astronomy · #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #astro-ph #cond-mat.stat-mech #nucl-th #physics.plasm-ph

paper · pdf · doi:10.1016/j.physa.2008.01.112

published as PHYSICA A 387 (2008) 3121 · 11 pages, 8 figures. Text and figures added, Physica A in press

arxiv created 2008/01/18 · openalex publication_date 2008/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a closer look at the Central Limit Theorem (CLT) behavior in quasi-stationary states of the Hamiltonian Mean Field model, a paradigmatic one for long-range-interacting classical many-body systems. We present new calculations which show that, following their time evolution, we can observe and classify three kinds of long-standing quasi-stationary states (QSS) with different correlations. The frequency of occurrence of each class depends on the size of the system. The different microsocopic nature of the QSS leads to different dynamical correlations and therefore to different results for the observed CLT behavior.

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