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

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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.