外噪声对铁磁系统阈值关联的影响
The effects of external noise on threshold induced correlations in ferromagnetic systems
摘要：
在本文中，我们研究了外部噪声和检测阈值水平的影响，通过亚稳态演化的系统的模拟数据。作为这类系统的代表性模型，我们选择了非平衡无热随机场伊辛模型与两种类型的外部噪声，均匀白噪声和高斯白噪声与各种不同的标准偏差，施加在模型模拟中获得的原始响应信号。我们应用了广泛的检测阈值水平的信号分析，并显示这些量如何影响指数$γ_{S/T}$（描述的缩放的平均雪崩大小与持续时间）的值，雪崩之间的等待时间的移动，并最终崩溃的等待时间分布。这些结果是通过对各种尺寸和无序的等边三维立方晶格进行广泛的数值模拟得到的。
英文摘要：
In the present paper we investigate the impact of the external noise and detection threshold level on the simulation data for the systems that evolve through metastable states. As a representative model of such systems we chose the nonequilibrium athermal random field Ising model with two types of the external noise, uniform white noise and Gaussian white noise with various different standard deviations, imposed on the original response signal obtained in model simulations. We applied a wide range of detection threshold levels in analysis of the signal and show how these quantities affect the values of exponent $γ_{S/T}$ (describing the scaling of the average avalanche size with duration), the shift of waiting time between the avalanches, and finally the collapses of the waiting time distributions. The results are obtained via extensive numerical simulations on the equilateral three-dimensional cubic lattices of various sizes and disorders.
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