论文标题

非平衡辐射的流体动力描述

Hydrodynamic description of Non-Equilibrium Radiation

论文作者

Rotstein, Boris, Akkermans, Eric

论文摘要

理论上通过随机晶状体模型在理论上解决了非平衡辐射。我们考虑由辐射谐振器链组成的谐振传输线,每个辐射谐振器都处于局部平衡,其边界在不同温度下与两个黑体储层的热接触。在长链极限中,以封闭形式获得了非平衡辐射的固定态。相应的光谱能密度偏离了普朗克的表达,但它遵守了有用的缩放形式。获得了宏观波动流体动力极限,导致计算传输参数的langevin方程。在此宏观极限中,我们确定了局部温度,该温度表征了光谱能密度。讨论了我们方法的一般性,并提出了非平衡辐射与物质相互作用的应用。

Non-equilibrium radiation is addressed theoretically by means of a stochastic lattice-gas model. We consider a resonating transmission line composed of a chain of radiation resonators, each at a local equilibrium, whose boundaries are in thermal contact with two blackbody reservoirs at different temperatures. In the long chain limit, the stationary state of the non-equilibrium radiation is obtained in a closed form. The corresponding spectral energy density departs from the Planck expression, yet it obeys a useful scaling form. A macroscopic fluctuating hydrodynamic limit is obtained leading to a Langevin equation whose transport parameters are calculated. In this macroscopic limit, we identify a local temperature which characterises the spectral energy density. The generality of our approach is discussed and applications for the interaction of non-equilibrium radiation with matter are suggested.

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