2010
DOI: 10.1080/15567260903530379
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On the Assumption of Detailed Balance in Prediction of Diffusive Transmission Probability During Interfacial Transport

Abstract: Models intended to predict interfacial transport often rely on the principle of detailed balance when formulating the interfacial carrier transmission probability. However, assumptions invoked significantly impact predictions. Here, we present six derivations of the transmission probability, each subject to a different set of preliminary assumptions regarding the type of scattering at the interface. Application of each case to phonon flux and thermal boundary conductance allows for a final quantitative compari… Show more

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Cited by 59 publications
(51 citation statements)
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“…When phonons cross an interface, they can change their frequency, in an inelastic process, or polarization, known as mode conversion, which can influence the thermal interface conductance [75]. In our work, we do not consider inelastic scattering.…”
Section: Appendix C: Effects Of Mode Conversionmentioning
confidence: 99%
“…When phonons cross an interface, they can change their frequency, in an inelastic process, or polarization, known as mode conversion, which can influence the thermal interface conductance [75]. In our work, we do not consider inelastic scattering.…”
Section: Appendix C: Effects Of Mode Conversionmentioning
confidence: 99%
“…(19), namely, elastic scattering. 78 Therefore, under the isotropic and diffuse assumptions, h K as calculated via the DMM is given as…”
Section: mentioning
confidence: 99%
“…In these models, the mismatch in acoustic properties or vibrational density of states, limits the interfacial phonon transmission, and therefore restricts the phonon flux that transmits across the interface. As these models and further refinements of these models have been extensively described in the literature [32,33,47,[49][50][51][52][53], these derivations will not be reproduced here. Instead, an analytical formulation of a coupled DMM and quantum mechanical derivation of electron-phonon scattering at free electron metal/nonmetal substrate interfaces will be derived in the following subsection.…”
Section: Interfacial Thermal Transportmentioning
confidence: 99%
“…In this approach, the carriers are assumed to scatter diffusively and the transmission probability is determined by equating the thermal fluxes on either side of the interface via the Principle of Detailed Balance (in-depth treatments regarding these assumptions are discussed in Refs. [47,63]). In short, the fundamental assumption of diffuse scattering implies that incident carriers lose all memory of their initial direction after scattering at the interface.…”
Section: Interfacial Thermal Transportmentioning
confidence: 99%
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