Size dependent thermal conductivity in nano-systems

作者：Gyory Erika; Markus Ferenc^*

来源：Thin Solid Films, 2014, 565: 89-93.

DOI：10.1016/j.tsf.2014.06.045

• Thermal conduction on nano-scale
• Size-dependent thermal conductivity
• Continued-fraction conductivity expression

The size dependent thermal conductivity coefficient can be expressed in a continued-fraction equation that is valid for both the ballistic and diffusive regimes of thermal propagation. However, with proper approximations it can be transformed into a single expression. The present study introduces a special approximation leading to a simpler and more practical form of the size-dependent thermal conductivity coefficient. Furthermore, the size-addition rule is also involved in the formulation. The obtained equation is compared with former expressions and measurement data, on purpose to make the difference visible. After requiring certain properties which makes this formula prominent, a suitable conductivity coefficient form is deduced.

• 出版日期2014-8-28