# Comparison of approximate solutions to the phonon Boltzmann transport equation with the relaxation time approximation: Spherical harmonics expansions and the discrete ordinates method

- Authors:

- Department of Chemical Engineering, UC Davis, Davis, California 95616, USA
- Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, California 94550, USA

- Publication Date:

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1436015

- Grant/Contract Number:
- AC52-07NA27344

- Resource Type:
- Journal Article: Publisher's Accepted Manuscript

- Journal Name:
- Journal of Applied Physics

- Additional Journal Information:
- Journal Name: Journal of Applied Physics Journal Volume: 123 Journal Issue: 17; Journal ID: ISSN 0021-8979

- Publisher:
- American Institute of Physics

- Country of Publication:
- United States

- Language:
- English

### Citation Formats

```
Christenson, J. G., Austin, R. A., and Phillips, R. J..
```*Comparison of approximate solutions to the phonon Boltzmann transport equation with the relaxation time approximation: Spherical harmonics expansions and the discrete ordinates method*. United States: N. p., 2018.
Web. doi:10.1063/1.5022182.

```
Christenson, J. G., Austin, R. A., & Phillips, R. J..
```*Comparison of approximate solutions to the phonon Boltzmann transport equation with the relaxation time approximation: Spherical harmonics expansions and the discrete ordinates method*. United States. doi:10.1063/1.5022182.

```
Christenson, J. G., Austin, R. A., and Phillips, R. J.. Mon .
"Comparison of approximate solutions to the phonon Boltzmann transport equation with the relaxation time approximation: Spherical harmonics expansions and the discrete ordinates method". United States. doi:10.1063/1.5022182.
```

```
@article{osti_1436015,
```

title = {Comparison of approximate solutions to the phonon Boltzmann transport equation with the relaxation time approximation: Spherical harmonics expansions and the discrete ordinates method},

author = {Christenson, J. G. and Austin, R. A. and Phillips, R. J.},

abstractNote = {},

doi = {10.1063/1.5022182},

journal = {Journal of Applied Physics},

number = 17,

volume = 123,

place = {United States},

year = {Mon May 07 00:00:00 EDT 2018},

month = {Mon May 07 00:00:00 EDT 2018}

}

Free Publicly Available Full Text

This content will become publicly available on May 4, 2019

**Publisher's Accepted Manuscript**

DOI: 10.1063/1.5022182

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Works referenced in this record:

##
Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices

journal, June 1998

- Chen, G.
- Physical Review B, Vol. 57, Issue 23, p. 14958-14973

##
Nanoscale thermal transport

journal, January 2003

- Cahill, David G.; Ford, Wayne K.; Goodson, Kenneth E.
- Journal of Applied Physics, Vol. 93, Issue 2, p. 793-818