老化的光谱特性：类REM陷阱模型
Spectral characterisation of ageing: the REM-like trap model
摘要：
我们回顾了最简单的陷阱模型，Bouchaud的REM类陷阱模型的背景下，从光谱理论的角度来看，老化现象。我们表明，该模型的动态发电机可以对角化。利用这一结果，我们推导出封闭的表达式相关函数在复杂的轮廓积分，允许一个容易的调查到他们的大时间渐近的热力学极限。我们还给出了一个“巨正则”表示的模型的马尔可夫过程的泊松点过程。在这方面，我们分析了各种时间尺度的动态。
英文摘要：
We review the ageing phenomenon in the context of simplest trap model, Bouchaud's REM-like trap model from a spectral theoretic point of view. We show that the generator of the dynamics of this model can be diagonalised exactly. Using this result, we derive closed expressions for correlation functions in terms of complex contour integrals that permit an easy investigation into their large time asymptotics in the thermodynamic limit. We also give a `grand canonical' representation of the model in terms of the Markov process on a Poisson point process . In this context we analyse the dynamics on various time scales.
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