论文标题
您想了解的有关相关性的一切,但害怕问
Everything you wish to know about correlations but are afraid to ask
论文作者
论文摘要
我们讨论了时间相关函数的各种定义以及如何从实验或仿真数据中估算它们。我们从实际和傅立叶空间中的各种定义开始,并解释如何从它们中提取特征时间尺度。然后,我们研究如何估计相关函数,即如何从实验获得的数据样本中获得良好的近似值。最后,我们讨论了这些估计的实际计算中出现的一些实际细节,并描述了一些相关算法。
We discuss the various definitions of time correlation functions and how to estimate them from experimental or simulation data. We start with the various definitions, both in real and in Fourier space, and explain how to extract from them a characteristic time scale. We then study how to estimate the correlation functions, i.e.\ how to obtain a good approximation to them from a sample of data obtained experimentally. Finally we discuss some practical details that arise in the actual computation of these estimates, and we describe some relevant algorithms.