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

Alessandro Pluchino, Andrea Rapisarda and Constantino Tsallis

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 13, 3121-3128

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 microscopic nature of the QSS leads to different dynamical correlations and therefore to different results for the observed CLT behavior.

Keywords: Metastability in Hamiltonian dynamics; Long-range interactions; Central Limit Theorem behavior; Nonextensive statistical mechanics (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:13:p:3121-3128

DOI: 10.1016/j.physa.2008.01.112

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