The DOI matches its Crossref record; 54 of the 54 references it cites were found in a registry or an index.
Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures
Abstract
A rigorous derivation is given for the thermal conductivity accumulation function and mean free path (MFP) spectrum of an isotropic bulk material. The key physical insight is to express the kinetic theory integral in terms of MFP rather than frequency. Extending this framework to incorporate boundary scattering in nanostructures leads to an integral equation that transforms a material's bulk MFP spectrum into the size-dependent thermal conductivity of the nanostructure. The kernel of this transform represents the boundary scattering rule for the particular type of nanostructure. The principal benefit of this transform is that it requires only a single function, the material's bulk MFP spectrum, or equivalently its accumulation function. Explicit knowledge of the material's dispersion relation and frequency-dependent bulk MFPs is not needed, nor is a summation over polarizations, because the bulk MFP spectrum already contains this information in exactly the form required to evaluate boundary scattering. The utility of this framework is demonstrated through a case study of six models for the phonon thermal conductivity of silicon: three analytical, one gray, and two numerical.
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In the citing paper
“Such bulk phonon MFP spectra can be extended to predict the thermal conductivity of thin films and nanostructures using the approaches of Yang and Dames 9 .”
From Broadband phonon mean free path contributions to thermal conductivity measured using frequency domain thermoreflectance (2013) · cites this paper as [9]
In the citing paper
“With the approaches from Ref. 35 the data in Fig. 2 allows for mapping of thermal conductivity suppression in nanostructured materials and devices.”
From Universal phonon mean free path spectra in crystalline semiconductors at high temperature (2013) · cites this paper as [35]
Citations
Cites
Room-Temperature Ultraviolet Nanowire Nanolasers
Huang, M. H., Mao, S. S., Feick, H., Yan, H., Wu, Y., Kind, H., Weber, E. R., Russo, R. E., & Yang, P. (2001) · Science · doi:10.1126/science.1060367 · Cited by 8,922
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. R., Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1987) · Technometrics · doi:10.2307/1269484 · Cited by 6,704
Nanowire Nanosensors for Highly Sensitive and Selective Detection of Biological and Chemical Species
Cui, Y., Wei, Q., Park, H., & Lieber, C. M. (2001) · Science · doi:10.1126/science.1062711 · Cited by 5,857
High-Thermoelectric Performance of Nanostructured Bismuth Antimony Telluride Bulk Alloys
Poudel, B., Hao, Q., Ma, Y., Lan, Y., Minnich, A. J., Yu, B., Yan, X. X., Wang, D., Muto, A., Vashaee, D., et al. (2008) · Science · doi:10.1126/science.1156446 · Cited by 5,627
Enhanced thermoelectric performance of rough silicon nanowires
Hochbaum, A. I., Chen, R., Delgado, R. D., Liang, W., Garnett, E. C., Najarian, M., Majumdar, A., & Yang, P. (2008) · Nature · doi:10.1038/nature06381 · Cited by 4,109
Model for Lattice Thermal Conductivity at Low Temperatures
Callaway, J. (1959) · Physical Review · doi:10.1103/physrev.113.1046 · Cited by 3,209
Silicon nanowires as efficient thermoelectric materials
Boukai, A. I., Bunimovich, Y. L., Tahir‐Kheli, J., Yu, J.-K., Goddard, W. A., & Heath, J. R. (2008) · Nature · doi:10.1038/nature06458 · Cited by 2,731
The mean free path of electrons in metals
Sondheimer, E. H. (1952) · Advances In Physics · doi:10.1080/00018735200101151 · Cited by 2,650
The conductivity of thin metallic films according to the electron theory of metals
Fuchs, K. P. (1938) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100019952 · Cited by 2,286
Bulk nanostructured thermoelectric materials: current research and future prospects
Minnich, A. J., Dresselhaus, M. S., Ren, Z., & Chen, G. (2009) · Energy & Environmental Science · doi:10.1039/b822664b · Cited by 2,000
Research works printed but not linked: 2
- C. Dames, 2006, Thermoelectrics Handbook, Macro to Nano
- C. Dames, 2008, Micro/Nanoscale Heat Transfer International Conference
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Rationally Designing High-Performance Bulk Thermoelectric Materials
Tan, G., Zhao, L., & Kanatzidis, M. G. (2016) · Chemical Reviews · doi:10.1021/acs.chemrev.6b00255 · Cited by 2,367
Emerging challenges and materials for thermal management of electronics
Moore, A. L., & Shi, L. (2014) · Materials Today · doi:10.1016/j.mattod.2014.04.003 · Cited by 2,156
Phonon-engineered extreme thermal conductivity materials
Qian, X., Zhou, J., & Chen, G. (2021) · Nature Materials · doi:10.1038/s41563-021-00918-3 · Cited by 872
Experimental observation of high thermal conductivity in boron arsenide
Kang, J. S., Li, M., Wu, H. Y., Nguyen, H., & Hu, Y. (2018) · Science · doi:10.1126/science.aat5522 · Cited by 662
Regner, K. T., Sellan, D. P., Su, Z., Amon, C. H., McGaughey, A. J. H., & Malen, J. A. (2013) · Nature Communications · doi:10.1038/ncomms2630 · Cited by 646
Metadata
- Authors
- Yang, F., & Dames, C.
- Affiliations
- University of California, Berkeley (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-31
- Volume
- 87
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2328394108
- Cited by
- 283
- References
- 54
- Citations by year
- 2026: 13 · 2025: 20 · 2024: 13 · 2023: 18 · 2022: 18 · 2021: 23 · 2020: 17 · 2019: 21 · 2018: 23 · 2017: 32 · 2016: 34 · 2015: 27 · 2014: 14 · 2013: 10
- FWCI
- 12.78
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review B (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Physical Sciences › Engineering › Civil and Structural Engineering › Thermal Radiation and Cooling Technologies
- Keywords
- lattice thermal conductivity, boundary scattering, nanostructures, size-dependent thermal conductivity, silicon, phonon dispersion
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