刚性固体的内部结构和热传导：双温方法
Internal structure and heat conduction in rigid solids: a two temperature approach
摘要：
非傅立叶热输运机制表征了具有内部结构的固体中的热传导。一些热力学理论试图解释这种系统中傅立叶区域的分离。本文从非平衡态热力学原理出发，建立了一个描述非傅立叶区的双温模型。基本假设是系统中存在两个分离的尺度，一个与矩阵维数（体积）有关，另一个与内部结构的特征长度有关。得到了两个描述每个长度尺度下热传导的温度傅里叶型耦合输运方程。用耦合参数作为拟合参数，较好地再现了几组不同结构材料热响应的实验结果。讨论了当前形式主义与其他理论的异同。
英文摘要：
A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a two temperature model to describe the non-Fourier regime from the principles of non-equilibrium thermodynamics. The basic assumption is the existence of two well separated length scales in the system, namely, one related with the matrix dimension (bulk) and the other with the characteristic length of the internal structure. Two Fourier type coupled transport equations are obtained for the temperatures which describe the heat conduction in each of the length scales. Recent experimental results from several groups on the thermal response of different structured materials are satisfactorily reproduced by using the coupling parameter as a fitting parameter. The similarities and differences of the present formalism with other theories are discussed.
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