摘要翻译：
哈密顿平均场模型自十年前引入以来，一直被用来研究长程相互作用系统的平衡和动力学性质。本文研究了寿命在热力学极限内发散的长寿命、非平衡、准定常动力学态的长时间行为。这些国家的性质是最近激烈辩论的对象。我们引入了一种新的数值工具，基于系统瞬时磁化强度相位的涨落。利用这一工具，我们研究了系统在不同初始条件下启动时产生的准平稳态，表明新的可观测量可以用来计算这些态的寿命。我们还证明了在该模型的二级磁相变临界温度以下和以上都存在准稳态。我们发现在超临界温度下的寿命比在亚临界温度下的寿命大得多。
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英文标题：
《Long time behavior of quasi-stationary states of the Hamiltonian
  Mean-Field model》
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作者：
Alessandro Campa, Andrea Giansanti, Gianluca Morelli
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  The Hamiltonian Mean-Field model has been investigated, since its introduction about a decade ago, to study the equilibrium and dynamical properties of long-range interacting systems. Here we study the long-time behavior of long-lived, out-of-equilibrium, quasi-stationary dynamical states, whose lifetime diverges in the thermodynamic limit. The nature of these states has been the object of a lively debate, in the recent past. We introduce a new numerical tool, based on the fluctuations of the phase of the instantaneous magnetization of the system. Using this tool, we study the quasi-stationary states that arise when the system is started from different classes of initial conditions, showing that the new observable can be exploited to compute the lifetime of these states. We also show that quasi-stationary states are present not only below, but also above the critical temperature of the second order magnetic phase transition of the model. We find that at supercritical temperatures the lifetime is much larger than at subcritical temperatures.
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PDF链接：
https://arxiv.org/pdf/706.3664