Thermal Conductivity of Thin Silicon Elliptical Nanostructures
Abstract
The behavior of anomalous thermal conductivity of silicon cylindrical elliptical nanostructures with elliptical cross-section in stationary states is discussed. Numerical simulation has shown that the abnormal thermal conductivity is related to the shape of the cross-section. The smaller the ratio of the large semi-axis of the ellipse to the smaller one, the higher the thermal conductivity of elliptical nanostructures. And that with an increase in temperature, the contribution to abnormal thermal conductivity due to a decrease in the Knudsen number prevails over the contribution due to a decrease in volumetric thermal conductivity. Therefore, with an increase in temperature, the thermal conductivity of cylindrical nanostructures with an elliptical cross-section increases by 28% in the range from 200 to 400 K. The obtained results demonstrate the anomalous nature of the thermal conductivity of thin silicon cylindrical nanostructures with an elliptical cross-section, which distinguishes them from the classical ideas about the thermal conductivity of solids.
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Review
For citations:
Masalsky N. Thermal Conductivity of Thin Silicon Elliptical Nanostructures. МАТЕМАТИЧЕСКОЕ И КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ СЛОЖНЫХ СИСТЕМ: ТЕОРЕТИЧЕСКИЕ И ПРИКЛАДНЫЕ АСПЕКТЫ. 2022;12(4):81-85. (In Russ.)
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