Abstract
Influence of film thickness on non-equilibrium energy transport in the aluminum thin film is examined. The solutions of Boltzmann equation and the modified two-equation model are presented to predict electron and phonon temperatures in the film for various film thicknesses. It is found that electron and phonon temperatures predicted from the Boltzmann equation differ from the solution of two-equation model in the film for small film thickness. As the film thickness increases, this difference becomes negligibly small. Two-equation model predicts higher electron and phonon temperatures than those obtained from the solutions of the Boltzmann equation in the vicinity of the high temperature edge. This becomes opposite in the region of the low temperature edge.
| Original language | English |
|---|---|
| Pages (from-to) | 4643-4648 |
| Number of pages | 6 |
| Journal | Physica B: Condensed Matter |
| Volume | 407 |
| Issue number | 24 |
| DOIs | |
| State | Published - 15 Dec 2012 |
Bibliographical note
Funding Information:The authors acknowledge the support of Dean Scientific Research for the Thermoelectric Group funded project, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.
Keywords
- Boltzmann equation
- Electron
- Phonon
- Two-equation
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Electrical and Electronic Engineering