Several mysteries in low-dimensional heat transport
Recent progress in anomalous heat conduction in one-dimensional nonlinear systems will be reviewed. Special attention will be paid on hydrodynamic fluctuating theory which predicts nontrivial connection to KPZ physics. Our recent studies on this will be reported. If time allows, I will also discuss the zero-dimensional heat transport. Kondo type of phenomena will be discussed in deep quantum regime and several open questions will be mentioned.
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