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Nonequilibrium thermodynamics of phonon hydrodynamic model for nanoscale heat transport

机译：纳米尺度传热的声子流体动力学模型的非平衡热力学

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摘要

A phonon hydrodynamic equation has been recently derived from the kinetic theory of phonons for nanoscale heat transport at ordinary temperatures. The classical irreversible thermodynamics is no longer valid due to the failure of the local equilibrium hypothesis from temporal and spatial strong nonequilibrium effects. In the present paper, we investigate the thermodynamic consistency of the phonon hydrodynamic equation for heat transport based on the phonon kinetic theory. The macroscopic expressions of entropy density and entropy flux in the bulk region as well as interfacial entropy generation in the boundary region are derived from their mesoscopic definitions in terms of the nonequilibrium phonon distribution solution. The phonon hydrodynamic equation is demonstrated to be consistent with the second law in the frame of extended irreversible thermodynamics. This paper provides a solid mesoscopic theoretical foundation to the previous nonequilibrium thermodynamics of the phonon hydrodynamic model for heat transport in nanosystems on a macroscopic basis.
机译：最近从声子的动力学理论导出了声子流体力学方程，该声子用于在常温下进行纳米级热传输。由于时间和空间强烈的非平衡效应导致的局部平衡假设的失败，经典的不可逆热力学不再有效。在本文中，我们基于声子动力学理论研究了用于热传递的声子流体动力学方程的热力学一致性。从非介观声子分布解的介观定义出发，可以得到本体区域中熵密度和熵通量以及边界区域中界面熵生成的宏观表达式。在扩展的不可逆热力学框架内，声子流体动力学方程被证明与第二定律一致。本文为宏观的声子流体动力学模型在纳米系统中的传热提供了以前的非平衡热力学的坚实的介观理论基础。

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  • 来源
    《Physical review. B, Condensed Matter And Materals Physics》 |2018年第10期|104304.1-104304.10|共10页
  • 作者

    Yangyu Guo; David Jou; Moran Wang;

  • 作者单位

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China;

    Departament de Fisica, Universitat Autonoma de Barcelona, 08193 Bellaterra, Catalonia, Spain;

    Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics and CNMM, Tsinghua University, Beijing 100084, China;

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