Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-11-27
J. Stat. Phys. 131, 535 (2008)
Physics
Condensed Matter
Statistical Mechanics
8 pages, 2 figures, published version
Scientific paper
10.1007/s10955-008-9487-1
We consider heat conduction across an ordered oscillator chain with harmonic interparticle interactions and also onsite harmonic potentials. The onsite spring constant is the same for all sites excepting the boundary sites. The chain is connected to Ohmic heat reservoirs at different temperatures. We use an approach following from a direct solution of the Langevin equations of motion. This works both in the classical and quantum regimes. In the classical case we obtain an exact formula for the heat current in the limit of system size N to infinity. In special cases this reduces to earlier results obtained by Rieder, Lebowitz and Lieb and by Nakazawa. We also obtain results for the quantum mechanical case where we study the temperature dependence of the heat current. We briefly discuss results in higher dimensions.
Dhar Abhishek
Roy Dibyendu
No associations
LandOfFree
Heat transport in ordered harmonic lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Heat transport in ordered harmonic lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heat transport in ordered harmonic lattices will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-687021