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Journal of Nanomaterials
Volume 2008 (2008), Article ID 590609, 10 pages
Research Article

Heat Transport in Nanoscale Heterosystems: A Numerical and Analytical Study

1Department of Physics and Center for Nanointegration, University of Duisburg-Essen, Lotharstr. 1, 47048 Duisburg, Germany
2Department of Physics, University of Kaiserslautern, 67663 Kaiserslautern, Germany

Received 28 August 2007; Revised 22 January 2008; Accepted 26 February 2008

Academic Editor: Michael Harris

Copyright © 2008 Boris Krenzer et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The numerical integration of the heat diffusion equation applied to the Bi/Si-heterosystem is presented for times larger than the characteristic time of electron-phonon coupling. By comparing the numerical results to experimental data, it is shown that the thermal boundary resistance of the interface can be directly determined from the characteristic decay time of the observed surface cooling, and an elaborate simulation of the temporal surface temperature evolution can be omitted. Additionally, the numerical solution shows that the substrate temperature only negligibly varies with time and can be considered constant. In this case, an analytical solution can be found. A thorough examination of the analytical solution shows that the surface cooling behavior strongly depends on the initial temperature distribution which can be used to study energy transport properties at short delays after the excitation.