Global Thermodynamics for Heat Conduction Systems
Global Thermodynamics for Heat Conduction Systems
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DOI：
10.1007/s10955-019-02393-2
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发表时间：
2019-12-01
影响因子：
1.6
通讯作者：
Sasa, Shin-ichi
中科院分区：
文献类型：
--
作者：
Nakagawa, Naoko;Sasa, Shin-ichi
针对空间非均匀热传导系统，提出了全球温度的概念。有了这个新的量，我们为整个系统提供了一个扩展的热力学框架，使得热力学的基本关系成立，我们称之为热传导系统的“整体热力学”。结合这一整体热力学，我们建立了一个确定热传导中气-液共存热力学性质的变分原理，它对应于平衡体系的Maxwell结构的自然推广。我们定量地预测了气液界面温度偏离平衡转变温度。这一结果表明，在界面附近稳定地出现了过冷气体。
We propose the concept of global temperature for spatially non-uniform heat conduction systems. With this novel quantity, we present an extended framework of thermodynamics for the whole system such that the fundamental relation of thermodynamics holds, which we call "global thermodynamics" for heat conduction systems. Associated with this global thermodynamics, we formulate a variational principle for determining thermodynamic properties of the liquid-gas phase coexistence in heat conduction, which corresponds to the natural extension of the Maxwell construction for equilibrium systems. We quantitatively predict that the temperature of the liquid-gas interface deviates from the equilibrium transition temperature. This result indicates that a super-cooled gas stably appears near the interface.