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Title: Role of pinning potentials in heat transport through disordered harmonic chains
Authors: Roy, Dibyendu
Dhar, Abhishek
Issue Date: Nov-2008
Publisher: American Physical Society
Citation: Physical Review E, 2008, Vol.78, 051112
Abstract: The role of quadratic on-site pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J> in an isotopically disordered harmonic chain connected to stochastic heat baths is investigated. For two models of heat baths, namely white noise baths and Rubin's model of baths, we find that the N dependence of <J> is the same and depends on the number of pinning centers present in the chain. In the absence of pinning, <J>Fr~1/N1/2 while in the presence of one or two pins <J>Fi~1/N3/2. For a finite (n) number of pinning centers with 2<=n<<N we provide heuristic arguments and numerical evidence to show that <J>n~1/Nn−1/2. We discuss the relevance of our results in the context of recent experiments.
Description: Open Access.
ISSN: E-ISSN: 1550-2376
P-ISSN: 1539-3755
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Copyright: 2008 The American Physical Society
Appears in Collections:Research Papers (TP)

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