关键词: 声子散射模型;微尺度;非金属薄膜;拉普拉斯变换

Abstract:

Heat conduction in three-layer and one-dimensional thin non-metallic film under high frequency harmonic thermal boundary condition was solved with Laplace transform from the phonon scatter model. Through the examples, the micro-sale thermal response character in thin non-metallic film was discussed. It was shown that the temperature is dominated by the characteristic parameter E in the different position of the thin film. The fluctuating character becomes more obvious and the maximum thermal response temperature is decreasing and then increasing when E is less than 0.1, and it is only decreasing if E is over 0.1. The thermal response velocity is bigger and the time when the temperature reaches maximum is almost the same. In the rear surface, the response velocity increases when E increases, and the maximum thermal response temperature decreases as increases if E is between 0 and 0.25, and increases if E is over 0.25.

Key words: phonon scatter model; micro-scale; thin non-metal film; Laplace transform