随机电阻和隧道网络模型中电流通过第一通过路径的弛豫：区域和时标
Current relaxation in the Random Resistor cum Tunneling Network Model through First-Passage route : Regimes and Time-scales
摘要：
通过第一次通过方法，数值研究了双随机电阻-隧道网络（RRTN）模型中的体电流弛豫。RRTN考虑了一个额外的半经典势垒跨越过程的电压阈值内的经典RRN键逾渗模型的框架。我们确定了不同的时间制度的弛豫和相应的唯象时间尺度，固定不同的制度的程度。这些时间尺度以前在参考文献中确定。\cite{relax-physicaA, aksubh}。我们研究了这些时间尺度的分布，发现在热力学极限下它们之间存在着完美的相关性。我们的结论是，存在一个单一的时间尺度控制RRTN动态。平均首次通过时间随系统尺寸的变化似乎是由于载流子在网络中的亚扩散运动。
英文摘要：
Numerically we study the bulk current relaxation in percolative Random Resistor cum Tunneling Network (RRTN) model through a first-passage route. The RRTN considers an extra semi-classical barrier-crossing process over a voltage threshold within a framework of classical RRN bond percolation model. We identify the different temporal regimes of relaxation and corresponding phenomenological time-scales, which fix up the extents of different regimes. These time-scales were previously identified in refs. \cite{relax-physicaA, aksubh}. We investigate on the distributions of these time-scales and observe that there exists a perfect correlation among them in the thermodynamic limit. We conclude that there exists a single time-scale which controls the RRTN dynamics. The variation of mean first-passage time .vs. system size seems to be due to sub-diffusive motion of charge carrier through the network.
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