Continued reduction in characteristic dimensions in nanosystems has given rise to increasing importance of material interfaces on the overall system performance. With regard to thermal transport, this increases the need for a better fundamental understanding of the processes affecting interfacial thermal transport, as characterized by the thermal boundary conductance. When thermal boundary conductance is driven by phononic scattering events, accurate predictions of interfacial transport must account for anharmonic phononic coupling as this affects the thermal transmission. In this paper, a new model for phononic thermal boundary conductance is developed that takes into account anharmonic coupling, or inelastic scattering events, at the interface between two materials. Previous models for thermal boundary conductance are first reviewed, including the diffuse mismatch model, which only considers elastic phonon scattering events, and earlier attempts to account for inelastic phonon scattering, namely, the maximum transmission model and the higher harmonic inelastic model. A new model is derived, the anharmonic inelastic model, which provides a more physical consideration of the effects of inelastic scattering on thermal boundary conductance. This is accomplished by considering specific ranges of phonon frequency interactions and phonon number density conservation. Thus, this model considers the contributions of anharmonic, inelastically scattered phonons to thermal boundary conductance. This new anharmonic inelastic model shows improved agreement between the thermal boundary conductance predictions and experimental data at the Pb/diamond and Au/diamond interfaces due to its ability to account for the temperature dependent changing phonon population in diamond, which can couple anharmonically with multiple phonons in Pb and Au. We conclude by discussing phonon scattering selection rules at interfaces and the probability of occurrence of these higher order anharmonic interfacial phonon processes quantified in this work.
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Anharmonic Phonon Interactions at Interfaces and Contributions to Thermal Boundary Conductance
Patrick E. Hopkins,
Patrick E. Hopkins
Engineering Sciences Center,
e-mail: pehopki@sandia.gov
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87185-0346; Department of Mechanical and Aerospace Engineering, University of Virginia
, Charlottesville, VA 22904-4746
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John C. Duda,
John C. Duda
Engineering Sciences Center,
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87185-0346; Department of Mechanical and Aerospace Engineering, University of Virginia
, Charlottesville, VA 22904-4746
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Pamela M. Norris
Pamela M. Norris
Department of Mechanical and Aerospace Engineering,
University of Virginia
, Charlottesville, VA 22904-4746
Search for other works by this author on:
Patrick E. Hopkins
Engineering Sciences Center,
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87185-0346; Department of Mechanical and Aerospace Engineering, University of Virginia
, Charlottesville, VA 22904-4746e-mail: pehopki@sandia.gov
John C. Duda
Engineering Sciences Center,
Sandia National Laboratories
, P.O. Box 5800, Albuquerque, NM 87185-0346; Department of Mechanical and Aerospace Engineering, University of Virginia
, Charlottesville, VA 22904-4746
Pamela M. Norris
Department of Mechanical and Aerospace Engineering,
University of Virginia
, Charlottesville, VA 22904-4746J. Heat Transfer. Jun 2011, 133(6): 062401 (11 pages)
Published Online: March 9, 2011
Article history
Received:
June 16, 2010
Revised:
January 12, 2011
Online:
March 9, 2011
Published:
March 9, 2011
Citation
Hopkins, P. E., Duda, J. C., and Norris, P. M. (March 9, 2011). "Anharmonic Phonon Interactions at Interfaces and Contributions to Thermal Boundary Conductance." ASME. J. Heat Transfer. June 2011; 133(6): 062401. https://doi.org/10.1115/1.4003549
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