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Title: The Green-Kubo formula for heat conduction in open systems
Authors: Kundu, Anupam
Dhar, Abhishek
Narayan, Onuttom
Keywords: heat conduction
transport processes / heat transfer (theory)
Issue Date: Mar-2009
Publisher: IOP Publishing/SISSA
Citation: Journal of Statistical Mechanics, 2009, L03001
Abstract: We obtain an exact Green-Kubo type linear response result for the heat current in an open system. The result is derived for classical Hamiltonian systems coupled to heat baths. Both lattice models and fluid systems are studied and several commonly used implementations of heat baths, stochastic as well as deterministic, are considered. The results are valid in arbitrary dimensions and for any system sizes. Our results are useful for obtaining the linear response transport properties of mesoscopic systems. Also we point out that for systems with anomalous heat transport, as is the case in low-dimensional systems, the use of the standard Green-Kubo formula is problematic and the open system formula should be used.
Description: Restricted Access. An open-access version is available at (one of the alternative locations)
ISSN: E-ISSN: 1742-5468
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Copyright: 2009 IOP & SISSA
Appears in Collections:Research Papers (TP)

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