We present a closed-form classical model for the size dependence of thin film thermal conductivity. The model predictions are compared to Stillinger-Weber silicon thin film thermal conductivities (in-plane and cross-plane directions) calculated using phonon properties obtained from lattice dynamics calculations. By including the frequency dependence of the phonon-phonon relaxation times, the model is able to capture the approach to the bulk thermal conductivity better than models based on a single relaxation time.
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Size-Dependent Model for Thin Film Thermal Conductivity
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McGaughey, AJH, Sellan, DP, Landry, ES, & Amon, CH. "Size-Dependent Model for Thin Film Thermal Conductivity." Proceedings of the ASME/JSME 2011 8th Thermal Engineering Joint Conference. ASME/JSME 2011 8th Thermal Engineering Joint Conference. Honolulu, Hawaii, USA. March 13–17, 2011. T30011. ASME. https://doi.org/10.1115/AJTEC2011-44184
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