2008/06/30 by Dibyendu Roy, Abhishek Dhar · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Thermal Radiation and Cooling Technologies #Thermal properties of materials #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreve.78.051112
published as Phys. Rev. E 78, 051112 (2008) · 5 pages, 2 figures, quantum case is added in modified version
openalex publication_date 2008/11/14 · arxiv created 2008/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 approximately 1/N1/2 while in the presence of one or two pins <J>Fi approximately 1/N3/2. For a finite (n) number of pinning centers with 2<or=n<<N we provide heuristic arguments and numerical evidence to show that <J>n approximately 1/N(n-1/2). We discuss the relevance of our results in the context of recent experiments.