关于HMF模型的拟stationary states中q-广义中心极限定理行为的进一步研究
A closer look at the indications of q-generalized Central Limit Theorem behavior in quasi-stationary states of the HMF model
摘要：
我们给出了一个更仔细地看在准定态的哈密顿平均场模型，一个典型的远程相互作用的经典多体系统的中心极限定理（CLT）的行为。我们提出了新的计算结果表明，随着它们的时间演化，我们可以观察到三种长期存在的准定态（QSS）与不同的相关性和分类。每个类出现的频率取决于系统的大小。不同的微观性质的QSS导致不同的动力学相关性，因此观察到的CLT行为的不同结果。
英文摘要：
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 microsocopic nature of the QSS leads to different dynamical correlations and therefore to different results for the observed CLT behavior.
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