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Behavior of Early Warnings near the Critical Temperature in the Two-Dimensional Ising Model

机译:二维Ising模型中接近临界温度的预警行为

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摘要

Among the properties that are common to complex systems, the presence of critical thresholds in the dynamics of the system is one of the most important. Recently, there has been interest in the universalities that occur in the behavior of systems near critical points. These universal properties make it possible to estimate how far a system is from a critical threshold. Several early-warning signals have been reported in time series representing systems near catastrophic shifts. The proper understanding of these early-warnings may allow the prediction and perhaps control of these dramatic shifts in a wide variety of systems. In this paper we analyze this universal behavior for a system that is a paradigm of phase transitions, the Ising model. We study the behavior of the early-warning signals and the way the temporal correlations of the system increase when the system is near the critical point.
机译:在复杂系统共有的属性中,系统动力学中关键阈值的存在是最重要的属性之一。最近,人们对在临界点附近的系统行为中出现的普遍性产生了兴趣。这些通用属性使得可以估计系统离临界阈值有多远。在时间序列中已经报道了几个预警信号,这些信号代表着接近灾难性转变的系统。对这些预警的正确理解可以允许预测并控制各种各样系统中的这些急剧变化。在本文中,我们分析了作为相变范式的系统(伊辛模型)的通用行为。我们研究了预警信号的行为以及当系统接近临界点时系统的时间相关性增加的方式。

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