非Poissonian更新过程的线性响应和涨落耗散定理
Linear Response and Fluctuation Dissipation Theorem for non-Poissonian Renewal Processes
摘要：
连续时间随机游走（CTRW）的形式主义是用来模拟非泊松松弛的系统响应扰动。两种机制扰动系统进行了分析：第一，其中的扰动，被视为一个电势梯度，只是引入了一个偏差的跳跃概率的步行者从现场到其他，但保持不变的发生时间的尝试跳跃（“事件”）和第二个事件的发生时间被扰动。在两种情况下，在非遍历条件下，即对于发散的第一时刻，分析计算系统响应。两个不同的涨落耗散定理（FDTs），每种机制之一，推导和讨论。
英文摘要：
The Continuous Time Random Walk (CTRW) formalism is used to model the non-Poisson relaxation of a system response to perturbation. Two mechanisms to perturb the system are analyzed: a first in which the perturbation, seen as a potential gradient, simply introduces a bias in the hopping probability of the walker from on site to the other but leaves unchanged the occurrence times of the attempted jumps ("events") and a second in which the occurrence times of the events are perturbed. The system response is calculated analytically in both cases in a non-ergodic condition, i.e. for a diverging first moment in time. Two different Fluctuation-Dissipation Theorems (FDTs), one for each kind of mechanism, are derived and discussed.
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