Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
/content/aip/journal/adva/5/6/10.1063/1.4922269
1.
1.Matthew Mecklenburg, William A. Hubbard, E. R. White, Rohan Dhall, Stephen B. Cronin, Shaul Aloni, and B. C. Regan, “Nanoscale temperature mapping in operating microelectronic devices,” Science 347, 629 (2015).
http://dx.doi.org/10.1126/science.aaa2433
2.
2.Z. Chen, Z. Wei, Y. Chen, and C. Dames, “Anisotropic Debye model for the thermal boundary conductance,” Physical Review B 87, 125426 (2013).
http://dx.doi.org/10.1103/PhysRevB.87.125426
3.
3.David G. Cahill, Paul V. Braun, Gang Chen, David R. Clarke, Shanhui Fan, Kenneth E. Goodson, Pawel Keblinski, William P. King, Gerald D. Mahan, Arun Majumdar, Humphrey J. Maris, Simon R. Phillpot, Eric Pop, and Li Shi, “Nanoscale thermal transport. ii. 2003–2012,” Applied Physics Reviews 1, 011305 (2014).
http://dx.doi.org/10.1063/1.4832615
4.
4.Yanbao Ma, “Size-dependent thermal conductivity in nanosystems based on non-fourier heat transfer,” Applied Physics Letters 101, 211905 (2012).
http://dx.doi.org/10.1063/1.4767337
5.
5.Gang Chen, “Ballistic-diffusive heat-conduction equations,” Physical Review Letters 86, 2297 (2001).
http://dx.doi.org/10.1103/PhysRevLett.86.2297
6.
6.Yujie Zhang and Wenjing Ye, “Modified ballistic-diffusive equations for transient non-continuum heat conduction,” International Journal of Heat and Mass Transfer 83, 51 (2015).
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2014.11.020
7.
7.Arnold D. Kim, “Correcting the diffusion approximation at the boundary,” Journal of the Optical Society of America A 28, 1007 (2011).
http://dx.doi.org/10.1364/JOSAA.28.001007
8.
8.Wu Li, Jesús Carrete, Nebil A. Katcho, and Natalio Mingo, “ShengBTE: A solver of the boltzmann transport equation for phonons,” Computer Physics Communications 185, 1747 (2014).
http://dx.doi.org/10.1016/j.cpc.2014.02.015
9.
9.A. Majumdar, “Microscale heat conduction in dielectric thin films,” Journal of Heat Transfer 115, 7 (1993).
http://dx.doi.org/10.1115/1.2910673
10.
10.Eugene M. Chudnovsky, “Theory of spin Hall effect: Extension of the Drude model,” Physical Review Letters 99, 206601 (2007).
http://dx.doi.org/10.1103/PhysRevLett.99.206601
11.
11.W. Ungier, Z. Wilamowski, and W. Jantsch, “Spin-orbit force due to Rashba coupling at the spin resonance condition,” Physical Review B 86, 245318 (2012).
http://dx.doi.org/10.1103/PhysRevB.86.245318
12.
12.J. Ordonez-Miranda, Ronggui Yang, and J. J. Alvarado-Gil, “A constitutive equation for nano-to-macro-scale heat conduction based on the Boltzmann transport equation,” Journal of Applied Physics 109, 084319 (2011).
http://dx.doi.org/10.1063/1.3573512
13.
13.Lei Mu, Zhi-hong He, and Shi-kui Dong, “Reproducing Kernel Particle Method for Radiative Heat Transfer in 1D Participating Media,” Mathematical Problems in Engineering 2015, 1 (2015).
14.
14.Hector Gomart and Jean Taine, “Validity criterion of the radiative fourier law for an absorbing and scattering medium,” Physical Review E 83, 021202 (2011).
http://dx.doi.org/10.1103/PhysRevE.83.021202
15.
15.K. T. Regner, A. J. H. McGaughey, and J. A. Malen, “Analytical interpretation of nondiffusive phonon transport in thermoreflectance thermal conductivity measurements,” Physical Review B 90, 064302 (2014).
http://dx.doi.org/10.1103/PhysRevB.90.064302
http://aip.metastore.ingenta.com/content/aip/journal/adva/5/6/10.1063/1.4922269
Loading
/content/aip/journal/adva/5/6/10.1063/1.4922269
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/adva/5/6/10.1063/1.4922269
2015-06-03
2016-09-25

Abstract

The widely used diffusion approximation is inaccurate to describe the transport behaviors near surfaces and interfaces. To solve such stochastic processes, an integro-differential equation, such as the Boltzmann transport equation (BTE), is typically required. In this work, we show that it is possible to keep the simplicity of the diffusion approximation by introducing a nonlocal source term and a spatially varying diffusion coefficient. We apply the proposed integrated diffusion model (IDM) to a benchmark problem of heat conduction across a thin film to demonstrate its feasibility. We also validate the model when boundary reflections and uniform internal heat generation are present.

Loading

Full text loading...

/deliver/fulltext/aip/journal/adva/5/6/1.4922269.html;jsessionid=TtJjlEs7xCWGp01a3bHII_y8.x-aip-live-02?itemId=/content/aip/journal/adva/5/6/10.1063/1.4922269&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/adva
true
true

Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
/content/realmedia?fmt=ahah&adPositionList=
&advertTargetUrl=//oascentral.aip.org/RealMedia/ads/&sitePageValue=aipadvances.aip.org/5/6/10.1063/1.4922269&pageURL=http://scitation.aip.org/content/aip/journal/adva/5/6/10.1063/1.4922269'
Right1,Right2,Right3,