期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 59, 期 7, 页码 2351-2359出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.08.056
关键词
Boltzmann transport equation; Phonon; Distribution function
资金
- Academy of Finland
A recently developed multiscale model is used to study thermal conduction in silicon. In this work, the role of optical phonons is included in the nanoscale by introducing phonons with zero velocity in the lattice-Boltzmann domain. In the model, only the optical phonons are heated, and the energy transfer rate from optical to acoustic phonons is described with a relaxation time. As a test case, a nanoscale hot spot is introduced into the system, and thermal conduction to ambient medium is calculated. The results show a temperature step at the spot boundary, while elsewhere the results are identical to thermal diffusion. Optical phonons are seen to increase the spot boundary thermal resistance, which is also heavily dependent on the relaxation time of the optical-acoustic phonon scattering. (C) 2009 Elsevier Ltd. All rights reserved.
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