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Theoretical Aspects of Radiative Energy Transport for Nanoscale System: Thermodynamic Uncertainty

Abstract Knowledge of an energy functioning of nanoscale system is essential both in the theoretical description and the experimental research. One of the energy behavior aspects which is critical for nanoscale system is dependence between energy and temperature that related to so called thermodynamic uncertainty relation (TUR). Existence of thermodynamic uncertainty relation (TUR) with the meaning similar to the known ratio in quantum physics for position and momentum has been in the focus of physics community for a long time. Recently, similar relation (STUR) was shaped in statistical physics to the form of a limit on an entropy production rate for the system driven into an arbitrary nonequilibrium state. In this paper, we suggest the new model for energy balance of nanoscale systems and demonstrate its applicability for obtaining the both TUR and STUR.