随机谐振链热输运中的电阻网络反常
Resistor-network anomalies in the heat transport of random harmonic chain
摘要：
我们考虑耦合质量的低维无序谐波网络中的热输运。利用已知的结果关于安德森局域化，我们得出的实际依赖的热导$G$上的长度$L$的样品。这是纳米技术实现所需要的，因为对于这种网络，违反了具有$α=1$的傅立叶定律$G \propto 1/L^α$。特别是，我们认为“玻璃”的耦合常数的障碍，并找到一个异常，这是相关的二元性的Lifshitz尾制度的标准安德森模型。
英文摘要：
We consider thermal transport in low-dimensional disordered harmonic networks of coupled masses. Utilizing known results regarding Anderson localization, we derive the actual dependence of the thermal conductance $G$ on the length $L$ of the sample. This is required by nanotechnology implementations because for such networks Fourier's law $G \propto 1/L^α$ with $α=1$ is violated. In particular we consider "glassy" disorder in the coupling constants, and find an anomaly which is related by duality to the Lifshitz-tail regime in the standard Anderson model.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
