A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model |
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Authors: | Alessandro Pluchino Constantino Tsallis |
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Institution: | a Dipartimento di Fisica e Astronomia, Universitá di Catania, and INFN sezione di Catania, Via S. Sofia 64, I-95123 Catania, Italy b Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil c Santa Fe Institute, 1399 Hyde Park Road, NM 87501, USA |
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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. |
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Keywords: | Metastability in Hamiltonian dynamics Long-range interactions Central Limit Theorem behavior Nonextensive statistical mechanics |
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