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arXiv 1306.2052cond-mat.stat-mech
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长时间准静态热输运中的尺寸效应

Size effects in the long-time quasi-static heat transport

George Y. Panasyuk, Kirk L. Yerkes

摘要:

我们考虑有限尺寸效应对量子系统介导的热储层之间的热传递的影响,其中每个储层中的模式数是有限的。我们的方法基于广义量子朗之万方程,并将热库描述为Drude-Ullersma模型中的振子系综。当观测时间为$Δ^{-1}$量级,且$Δ$为热库的模间距常数时,得到了长时间准静态状态下热库间热流的一般表达式。由此产生的方程,管理的模式温度和平均温度的水库的长时间松弛的推导和近似的解析解。

英文摘要:

We consider finite size effects on heat transfer between thermal reservoirs mediated by a quantum system, where the number of modes in each reservoir is finite. Our approach is based on the generalized quantum Langevin equation and the thermal reservoirs are described as ensembles of oscillators within the Drude-Ullersma model. A general expression for the heat current between the thermal reservoirs in the long-time quasi-static regime, when an observation time is of the order of $Δ^{-1}$ and $Δ$ is the mode spacing constant of a thermal reservoir, is obtained. The resulting equations that govern the long-time relaxation for the mode temperatures and the average temperatures of the reservoirs are derived and approximate analytical solutions are found.

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