A phenomenological approach of heat transfer in nano-systems is proposed, on the basis of a continued-fraction expansion of the thermal conductivity, obtained within the framework of extended irreversible thermodynamics. Emphasis is put on the transition from the diffusive, collision-dominated heat transport to the ballistic heat transport, as a function of the mean free path and the length of the system. © 2005 Elsevier Ltd. All rights reserved.
|Journal||Applied Mathematics Letters|
|Publication status||Published - 1 Aug 2005|
- Ballistic transport
- Continued fractions
- Extended irreversible thermodynamics
- Heat transport
Jou, D., Casas-Vazquez, J., Lebon, G., & Grmela, M. (2005). A phenomenological scaling approach for heat transport in nano-systems. Applied Mathematics Letters, 18, 963-967. https://doi.org/10.1016/j.aml.2004.06.026