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Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems
Open accessAbstract
Anomalous large thermal conductivity has been observed numerically and experimentally in one- and two-dimensional systems. There is an open debate about the role of conservation of momentum. We introduce a model whose thermal conductivity diverges in dimensions 1 and 2 if momentum is conserved, while it remains finite in dimension d > or = 3. We consider a system of harmonic oscillators perturbed by a nonlinear stochastic dynamics conserving momentum and energy. We compute explicitly the time correlation function of the energy current C(J)(t), and we find that it behaves, for large time, like t(-d/2) in the unpinned cases, and like t(-d/2-1) when an on-site harmonic potential is present. This result clarifies the role of conservation of momentum in the anomalous thermal conductivity in low dimensions.
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Metadata
- Authors
- Basile, G., Bernardin, C., & Olla, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-05-22
- Volume
- 96
- Issue
- 20
- Pages
- 204303-204303
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1489963868
- Cited by
- 194
- References
- 0
- FWCI
- 6.23
- Type
- journal article
- Language
- en
- Open access
- green
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- Basile, G., Bernardin, C., & Olla, S. (2006). Momentum Conserving Model with Anomalous Thermal Conductivity in Low Dimensional Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.96.204303
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