傅立叶定律：从一个简单的推导中得到的启示
Fourier's Law: insight from a simple derivation
摘要：
通过一个简单的弱耦合量子系统与热浴在其边缘接触的模型，在一维量子系统中的傅立叶定律的发病。使用分析参数，我们表明，从弹道（无效傅立叶定律）的交叉扩散（有效傅立叶定律）制度的特点是由热的长度尺度，这是直接相关的局部温度的分布。在相同的静脉，失相显示，以引起一个经典的傅立叶定律，类似于发病的欧姆定律在介观导体。
英文摘要：
The onset of Fourier's law in a one-dimensional quantum system is addressed via a simple model of weakly coupled quantum systems in contact with thermal baths at their edges. Using analytical arguments we show that the crossover from the ballistic (invalid Fourier's law) to diffusive (valid Fourier's law) regimes is characterized by a thermal length-scale, which is directly related to the profile of the local temperature. In the same vein, dephasing is shown to give rise to a classical Fourier's law, similarly to the onset of Ohm's law in mesoscopic conductors.
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