The relation between heat flux and temperature gradient has been considered as a constitutive structure or as a balance law in different approaches. Both views may allow a description of heat conduction characterized by finite speed propagation of temperature disturbances. Such a result, which overcomes Fourier’s drawback of infinite speed propagation, can be obtained also by considering insufficient the representation of a conductor, even when it is considered to be rigid, rather than the sole relation between heat flux and temperature gradient. We comment this last view and describe the intersection with previous proposals. Eventually, we show how under Fourier’s law we can have traveling-wave-type temperature propagation when thermal microstructures are accounted for.

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有限速温度传播的来源

热通量和温度梯度之间的关系在不同的方法中被认为是本构结构或平衡定律。两种观点都可以描述以温度扰动的有限速度传播为特征的热传导。这样的结果克服了傅立叶无限速度传播的缺点，也可以通过考虑导体的表示不足来获得，即使它被认为是刚性的，而不是热通量和温度梯度之间的唯一关系。我们评论了最后一个观点并描述了与先前提案的交叉点。最终，我们展示了在考虑到热微结构的情况下，根据傅里叶定律，我们可以如何进行行波型温度传播。