分形超材料中的反常瞬态热传导
Anomalous Transient Heat Conduction in Fractal Metamaterials
摘要：
研究了各向同性分形异向介质中热传导的瞬态动力学。利用非整数维的Laplacian算子，在一定的初始和边界条件下，分析和数值研究了分形维数对温度场、热流密度和过剩能量演化的影响。特别地，在分形超材料中随机分布的吸收热沉的情况下，我们得到了热脉冲扩散的反常非指数衰减行为。以及有效吸热的最佳尺寸作为吸收器浓度的函数。分形介质作为多孔、复合、网络化、层次化的超材料，其瞬态热传导的控制具有潜在的应用价值。
英文摘要：
Transient dynamics of heat conduction in isotropic fractal metamaterials is investigated. By using the Laplacian operator in non-integer dimension, we analytically and numerically study the effect of fractal dimensionality on the evolution of the temperature profile, heat flux and excess energy under certain initial and boundary conditions. Particularly, with randomly distributed absorbing heat sinks in the fractal metamaterials, we obtain an anomalous non-exponential decay behavior of the heat pulse diffusion. and an optimal dimension for efficient heat absorption as a function of sink concentrations. Our results may have potential applications in controlling transient heat conduction in fractal media, which will be ubiquitous as porous, composite, networked, hierarchical meta-materials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
