A further contribution to the theory of the transient hot-wire technique for thermal conductivity measurements期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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A further contribution to the theory of the transient hot-wire technique for thermal conductivity measurements

Authors:	AA Clifford J Kestin WA Wakeham

Institution:	Dept. of Physical Chemistry, University of Leeds, Leeds, England;Brown University, Providence, Rhode Island, USA;Dept. of Chemical Engineering and Chemical Technology, Imperial College, London, England

Abstract:	We study the density of states of a one-dimensional tightbinding electron model with random hopping elements. The Hamiltonian is $H = -∑_{i} J_{i+12} (a^{+}_{i} a_{i+1} +a^{+}_{i+1} a_{i})$ , where the $J_{i+12}$ 's are independent identically distributed random variables. It is proved that the single particle density of states D(E) diverges near E = 0 as $1 \|(E log^{3} \|E\|)\|$ .

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