| Title |
Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments
|
|---|---|
| Published in |
Nature Communications, October 2014
|
| DOI | 10.1038/ncomms6075 |
| Pubmed ID | |
| Authors |
R. B. Wilson, David G. Cahill |
| Abstract |
The applicability of Fourier's law to heat transfer problems relies on the assumption that heat carriers have mean free paths smaller than important length scales of the temperature profile. This assumption is not generally valid in nanoscale thermal transport problems where spacing between boundaries is small (<1 μm), and temperature gradients vary rapidly in space. Here we study the limits to Fourier theory for analysing three-dimensional heat transfer problems in systems with an interface. We characterize the relationship between the failure of Fourier theory, phonon mean free paths, important length scales of the temperature profile and interfacial-phonon scattering by time-domain thermoreflectance experiments on Si, Si0.99Ge0.01, boron-doped Si and MgO crystals. The failure of Fourier theory causes anisotropic thermal transport. In situations where Fourier theory fails, a simple radiative boundary condition on the heat diffusion equation cannot adequately describe interfacial thermal transport. |
X Demographics
The data shown below were collected from the profiles of 2 X users who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 50% |
| Japan | 1 | 50% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 2 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 210 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 7 | 3% |
| Spain | 1 | <1% |
| Unknown | 202 | 96% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 73 | 35% |
| Researcher | 31 | 15% |
| Student > Master | 15 | 7% |
| Student > Doctoral Student | 15 | 7% |
| Professor | 15 | 7% |
| Other | 31 | 15% |
| Unknown | 30 | 14% |
| Readers by discipline | Count | As % |
|---|---|---|
| Engineering | 66 | 31% |
| Physics and Astronomy | 62 | 30% |
| Materials Science | 33 | 16% |
| Energy | 6 | 3% |
| Chemical Engineering | 3 | 1% |
| Other | 4 | 2% |
| Unknown | 36 | 17% |
Attention Score in Context
This research output has an Altmetric Attention Score of 10. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 10 October 2014.
All research outputs
#2,934,005
of 22,765,347 outputs
Outputs from Nature Communications
#28,026
of 46,881 outputs
Outputs of similar age
#34,579
of 253,597 outputs
Outputs of similar age from Nature Communications
#337
of 687 outputs
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