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

被引：45

作者：

Pluchino, Alessandro ^{[1
,2
]}

Rapisarda, Andrea ^{[1
,2
]}

Tsallis, Constantino ^{[3
,4
]}

机构：

[1] Univ Catania, Dipartimento Fis & Astron, I-95123 Catania, Italy

[2] Ist Nazl Fis Nucl, Sez Catania, I-95123 Catania, Italy

[3] Ctr Brasileiro Pesquisas Fis, BR-22290180 Rio De Janeiro, Brazil

[4] Santa Fe Inst, Santa Fe, NM 87501 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 13期

关键词：

metastability in Hamiltonian dynamics; long-range interactions; Central Limit Theorem behavior; nonextensive statistical mechanics;

D O I：

10.1016/j.physa.2008.01.112

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：3121 / 3128

页数：8

共 36 条

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