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首页> 外文期刊>Physical review >Phonon hydrodynamics, thermal conductivity, and second sound in two-dimensional crystals
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Phonon hydrodynamics, thermal conductivity, and second sound in two-dimensional crystals

机译：二维晶体中的声子流体力学，热导率和第二声

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摘要

Starting from our previous work in which we obtained a system of coupled integrodifferential equations for acoustic sound waves and phonon density fluctuations in two-dimensional (2D) crystals, we derive here the corresponding hydrodynamic equations, and we study their consequences as a function of temperature and frequency. These phenomena encompass propagation and damping of acoustic sound waves, diffusive heat conduction, second sound, and Poiseuille heat flow, all of which are characterized by specific transport coefficients. We calculate these coefficients by means of correlation functions without using the concept of relaxation time. Numerical calculations are performed as well in order to show the temperature dependence of the transport coefficients and of the thermal conductivity. As a consequence of thermal tension, mechanical and thermal phenomena are coupled. We calculate the dynamic susceptibilities for displacement and temperature fluctuations and study their resonances. Due to the thermomechanical coupling, the thermal resonances such as the Landau-Placzek peak and the second-sound doublet appear in the displacement susceptibility, and conversely the acoustic sound wave doublet appears in the temperature susceptibility, Our analytical results not only apply to graphene, but they are also valid for arbitrary 2D crystals with hexagonal symmetry, such as 2D hexagonal boron nitride, 2H-transition-metal dichalcogenides, and oxides.
机译：从我们先前的工作开始，在该工作中我们获得了二维（2D）晶体中声波和声子密度波动的耦合积分微分方程组，在此我们导出了相应的流体动力学方程，并研究了它们随温度变化的结果。和频率。这些现象包括声波的传播和阻尼，扩散热传导，第二声音和泊瓦伊热流，所有这些都由特定的传输系数来表征。我们通过相关函数计算这些系数，而无需使用松弛时间的概念。为了显示出传输系数和热导率的温度依赖性，还进行了数值计算。由于热张力，机械现象和热现象耦合。我们计算位移和温度波动的动态磁化率，并研究其共振。由于热机械耦合，在位移敏感性中出现了Landau-Placzek峰和第二声双重峰等热共振，而在温度敏感性中则出现了声波双重峰。我们的分析结果不仅适用于石墨烯，但它们也适用于具有六边形对称性的任意2D晶体，例如2D六边形氮化硼，2H-过渡金属二卤化物和氧化物。

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  • 来源
    《Physical review》 |2019年第14期|144303.1-144303.16|共16页
  • 作者

    Scuracchio P.; Michel K. H.; Peeters F. M.;

  • 作者单位

    Univ Antwerp, Dept Phys, Groenenborgerlaan 171, BE-2020 Antwerp, Belgium;

    Univ Antwerp, Dept Phys, Groenenborgerlaan 171, BE-2020 Antwerp, Belgium;

    Univ Antwerp, Dept Phys, Groenenborgerlaan 171, BE-2020 Antwerp, Belgium;

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