Statistical mechanical study on classification, fluctuation and control in energy-related phenomena

在本研究中，我们考虑了三个问题。第一个问题是研究低维系统中的异常能量输运，第二个问题是研究无时间反转对称性系统中热电输运中热功转换的理论界。第三个问题是非平衡电流波动问题。在第一个问题中，我们使用讨论异常扩散的典型数学模型Levy行走模型讨论了异常输运，并成功地再现了实验结果。在第二个问题中，我们证明了磁场作用下的热电效率可以超过对具有时间反转对称性的系统严格成立的界限。在第三个问题中，我们证明了在特定系统的热传递中确实存在预期成立的可加性原理。

In this study, we considered three problems. The first problem is to study on anomalous energy transport in low-dimensional systems, and the second one is on theoretical bound in heat-to-work conversion in thermoelectric transport in systems without time-reversal symmetry. The third one is a problem on non-equilibrium current fluctuation. In the first problem, we discussed anomalous transport with use of Levy walk model which is the typical mathematical model for discussing anomalous diffusion, and we succeeded in reproducing experimental findings. In the second problem, we showed that thermoelectric efficiency under magnetic fields can exceed the bound which is strictly holds for systems with time-reversal symmetry. In the third problem, we showed that Additivity principle, which was expected to hold, really exists in heat transport via specific systems.