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http://hdl.handle.net/2289/3700
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. |
URI: | http://hdl.handle.net/2289/3700 |
ISSN: | E-ISSN: 1550-2376 P-ISSN: 1539-3755 |
Alternative Location: | http://arxiv.org/abs/0806.4693 http://dx.doi.org/10.1103/PhysRevE.78.051112 |
Copyright: | 2008 The American Physical Society |
Appears in Collections: | Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2008 PRE V78_051112.pdf | Open Access | 102.77 kB | Adobe PDF | View/Open |
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