Rezgui Houssem
Laboratory of Thermal Processes, Research and Technology Centre of Energy, Hammam Lif 2050, Tunisia.
University of Tunis El Manar, University Campus in Tunis, Manar II, Tunis 2092, Tunisia.
ACS Omega. 2023 Jun 20;8(26):23964-23974. doi: 10.1021/acsomega.3c02558. eCollection 2023 Jul 4.
Several experimental and theoretical investigations confirm the failure of the classical Fourier's law in low-dimensional systems and ultrafast thermal transport. Hydrodynamic heat transport has been recently considered as a promising avenue to thermal management and phonon engineering in graphitic materials. Non-Fourier features are therefore required to describe and distinguish the hydrodynamic regime from other heat transport regimes. In this work, we provide an efficient framework for the identification of hydrodynamic heat transport and second sound propagation in graphene at 80 and 100 K. We solve both the dual-phase-lag model and the Maxwell-Cattaneo-Vernotte equation based on the finite element method with ab initio data as inputs. We emphasize on the detection of thermal wave-like behavior using macroscopic quantities including the Knudsen number and second sound velocity beyond Fourier's law. We present a clear observation of the crossover phenomena from the wave-like regime to diffusive heat transport predicted in terms of mesoscopic equations. This present formalism will contribute to a clear and deeper understanding of hydrodynamic heat transport in condensed systems for future experimental detection of second sound propagation above 80 K.
多项实验和理论研究证实，经典傅里叶定律在低维系统和超快热输运中失效。最近，流体动力学热输运被认为是石墨材料热管理和声子工程的一条有前景的途径。因此，需要非傅里叶特征来描述流体动力学区域并将其与其他热输运区域区分开来。在这项工作中，我们提供了一个有效的框架，用于识别80K和100K下石墨烯中的流体动力学热输运和第二声传播。我们基于有限元方法，以第一性原理数据为输入，求解双相滞后模型和麦克斯韦-卡塔尼奥-韦尔诺特方程。我们强调使用包括克努森数和超越傅里叶定律的第二声速在内的宏观量来检测热波状行为。我们清晰地观察到了根据介观方程预测的从波状区域到扩散热输运的交叉现象。这种形式主义将有助于更清晰、更深入地理解凝聚系统中的流体动力学热输运，以便未来在80K以上实验检测第二声传播。
