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Heat Conduction in the Disordered Harmonic Chain Revisited
Open accessAbstract
A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths, satisfying the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which its asymptotic system-size (N) dependence is extracted. It is shown that "thermal conductivity" depends not just on the system itself but also on the spectral properties of the heat baths. As special cases we recover earlier results that gave J approximately 1/N(3/2) for fixed boundaries and J approximately 1/N(1/2) for free boundaries. Other choices give other power laws including the "Fourier behavior" J approximately 1/N.
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Citations
Cited by
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Balandin, A. A. (2011) · Nature Materials · doi:10.1038/nmat3064 · Cited by 6,244
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Dhar, A. (2008) · Advances in Physics · doi:10.1080/00018730802538522 · Cited by 940
Self-citationThermal Conductivity of Graphene and Graphite: Collective Excitations and Mean Free Paths
Fugallo, G., Cepellotti, A., Paulatto, L., Lazzeri, M., Marzari, N., & Mauri, F. (2014) · Nano Letters · doi:10.1021/nl502059f · Cited by 586
Phonons and thermal transport in graphene and graphene-based materials
Nika, D. L., & Balandin, A. A. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/80/3/036502 · Cited by 359
Two-dimensional phonon transport in graphene
Nika, D. L., & Balandin, A. A. (2012) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/24/23/233203 · Cited by 346
Metadata
- Authors
- Dhar, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-06-25
- Volume
- 86
- Issue
- 26
- Pages
- 5882-5885
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2047352285
- Cited by
- 193
- References
- 0
- FWCI
- 3.95
- Type
- journal article
- Language
- en
- Open access
- green
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