Abstract
Radiative phonon transport in two-dimensional silicon thin film is considered and equivalent equilibrium temperature is analyzed for different boundary conditions at the film faces. The influence of the film thickness on phonon transport is also examined and limiting film thickness for two-dimensional phonon transport is demonstrated. It is found that the two-dimensional phonon transport reduces to one-dimensional transport for the film width more than or equal to the twice of the thickness of the silicon film. Equivalent equilibrium temperature predicted, agrees well with the previous findings.
Similar content being viewed by others
References
A. Christensen, S. Graham, Numer. Heat Transf. B Fundam. 57, 89 (2010)
C. Huang, K. Chen, Numer. Heat Transf. A Appl. 52, 43 (2007)
S. Srinivasan, R.S. Miller, E. Marotta, Numer. Heat Transf. B Fundam. 46, 31 (2004)
O. Ilegbusi, A.U. Coskun, Y. Yener, Numer. Heat Transf. A Appl. 41, 711 (2002)
J.Y. Murthy, S.R. Mathur in Proceedings of the ASME Summer Heat Transfer Conference (2003), pp. 579–583
S. Bin Mansoor, B.S. Yilbas, Physica B 406, 2186 (2011)
N.D. Akhavan, A. Afzalian, C. Lee, R. Yan, I. Ferain, P. Razavi, R. Yu, G. Fagas, J. Colinge, J. Appl. Phys. 108, 3 (2010)
M. Asheghi, W. Liu, Goodson, ASME, Electronic and Photonic Packaging, EPP (2004), Vol. 4, p. 113
S.V.J. Narumanchi, J.Y. Murthy, C.H. Amon, J. Heat Transfer 126, 946 (2004)
J.S. Hammonds Jr., J. Heat Transfer 129, 94 (2007)
S. Bin Mansoor, B.S. Yilbas, Opt. Quantum Electron. 42, 601 (2011)
A. Majumdar, J. Heat Transfer 115, 7 (1993)
G. Chen, Phys. Rev. B 57, 14958 (1998)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yilbas, B.S., Bin Mansoor, S. Phonon transport in two-dimensional silicon thin film: influence of film width and boundary conditions on temperature distribution. Eur. Phys. J. B 85, 243 (2012). https://doi.org/10.1140/epjb/e2012-30127-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2012-30127-x