根据热质运动理论可以得到普适导热定律,适用于极高热流密度以及超快速加热的极端导热条件。已有的理论研究得到了声子气状态方程,适用于非金属材料中的普适导热模型。而在金属材料中电子是热量传递的主要载体,声子气状态方程将不再适用。本文推导出热质理论中的电子气状态方程,并得到金属中的普适导热定律,为金属材料中极端条件下非Fourier导热现象的研究提供了理论基础。
A general heat conduction law can be derived from the thermomass theory and it is applicable under the ultra-high heat flux and ultra-fast laser heating conditions.The state equation for phonon gas has been obtained based on the thermomass theory in the past,leading to the general heat conduction law in dielectrics.However,electrons are the main energy carriers in metals and the sate equation for phonon gas is no longer available.The sate equation for thermomass in electron gas has been derived in this paper and the corresponding general heat conduction law has been obtained. It gives the theoretical foundation of the study of non-Fourier behaviors in metals under the extreme conditions.