Monte Carlo transient phonon transport in silicon and germanium at nanoscales
By D. Lacroix, K. Joulain. 2005
258 citations recorded by the source corpus.
Heat transport at nanoscales in semiconductors is investigated with a statistical method. The Boltzmann transport equation (BTE), which characterizes phonon motion and interaction within the crystal lattice, has been simulated with a Monte Carlo technique. Our model takes into account media frequency properties through the dispersion curves for longitudinal and transverse acoustic branches. The BTE collisional term involving phonon scattering processes is simulated with the relaxation times approximation theory. A new distribution function accounting for the collisional processes has been developed in order to respect energy conservation during phonons scattering events. This nondeterministic approach provides satisfactory results in what concerns phonon transport in both ballistic and diffusion regimes. The simulation code has been tested with silicon and germanium thin films; temperature propagation within samples is presented and compared to analytical solutions (in the diffusion regime). The two-material bulk thermal conductivity is retrieved for temperature ranging between 100 K and 500 K. Heat transfer within a plane wall with a large thermal gradient (250 K to 500 K) is proposed in order to expose the model ability to simulate conductivity thermal dependence on heat exchange at nanoscales. Finally, size effects and validity of heat conduction law are investigated for several slab thicknesses.
Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/2b36f5c7f2d80ae566a82f5add617c213b36dc41
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Citations in the corpus
- Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations (2011, methodology): “However, because the frequencies of the scattered phonons are drawn randomly, conservation of energy is enforced by adding or deleting particles until a target energy is approximately reached [8, 9].”
- Radiative Heat Transfer Analysis in Plasmonic Nanofluids for Direct Solar Thermal Absorption (2012, background): “In the Monte Carlo simulation, the drift process (during which the photon bundle propagates) is treated independently from the scattering process (during which the photon bundle changes its propagation direction) [23].”