Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Role of pinning potentials in heat transport through disordered harmonic
  chain   The role of quadratic onsite pinning potentials on determining the size (N)
dependence of the disorder averaged steady state heat current <J>, in a
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> ~ 1/N^{1/2} while in presence of one or two pins <J> ~
1/N^{3/2}. For a finite (n) number of pinning centers with 2 <= n << N, we
provide heuristic arguments and numerical evidence to show that <J> ~
1/N^{n-1/2}. We discuss the relevance of our results in the context of recent
experiments.

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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol