Heat transport in low-dimensional systems

Dhar, Abhishek

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3748

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DC Field	Value	Language
dc.contributor.author	Dhar, Abhishek	-
dc.date.accessioned	2009-05-11T10:53:03Z	-
dc.date.available	2009-05-11T10:53:03Z	-
dc.date.issued	2008-09	-
dc.identifier.citation	Advances in Physics, 2008, Vol. 57(5), p457-537	en
dc.identifier.issn	0001-8732	-
dc.identifier.issn	1460-6976 (Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/3748	-
dc.description	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)	en
dc.description.abstract	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 ∼ Lagr. For one-dimensional interacting systems there is strong numerical evidence for a universal exponent agr = 1/3, 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.	en
dc.language.iso	en	en
dc.publisher	Taylor & Francis	en
dc.relation.uri	http://arxiv.org/abs/0808.3256	en
dc.relation.uri	http://dx.doi.org/10.1080/00018730802538522	en
dc.rights	2008 Taylor & Francis	en
dc.subject	heat conduction	en
dc.subject	low-dimensional systems	en
dc.subject	anomalous transport	en
dc.title	Heat transport in low-dimensional systems	en
dc.type	Article	en
Appears in Collections:	Research Papers (TP)

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