Heat transport in low-dimensional systems

Dhar, Abhishek (2008) Heat transport in low-dimensional systems Advances in Physics, 57 (5). pp. 457-537. ISSN 0001-8732

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0001873...

Related URL: http://dx.doi.org/10.1080/00018730802538522


Recent results on theoretical studies of heat conduction in low-dimensional systems are presented. These studies are on simple, yet non-trivial, models. Most of these are classical systems, but some quantum-mechanical work is also reported. Much of the work has been on lattice models corresponding to phononic systems, and some on hard-particle and hard-disc systems. A recently developed approach, using generalized Langevin equations and phonon Green's functions, is explained and several applications to harmonic systems are given. For interacting systems, various analytic approaches based on the Green-Kubo formula are described, and their predictions are compared with the latest results from simulation. These results indicate that for momentum-conserving systems, transport is anomalous in one and two dimensions, and the thermal conductivity κ diverges with system size L as κ~Lα. For one-dimensional interacting systems there is strong numerical evidence for a universal exponent α=⅓, but there is no exact proof for this so far. A brief discussion of some of the experiments on heat conduction in nanowires and nanotubes is also given.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Heat Conduction; Low-dimensional Systems; Anomalous Transport
ID Code:79674
Deposited On:28 Jan 2012 12:10
Last Modified:18 May 2016 21:57

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